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Finding the Fourth Proportional to 5,232,892.44, 7,849,338.74 and 1,638,940.67

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Solution

The fourth proportional to 5,232,892.44, 7,849,338.74 and 1,638,940.67 is: 2,458,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232,892.44 : 7,849,338.74 = 1,638,940.67 : x
  2. Step 2: Convert to fraction form
    5,232,892.44/7,849,338.74 = 1,638,940.67/x
  3. Step 3: Cross multiply
    5,232,892.44x = 7,849,338.74 × 1,638,940.67
  4. Step 4: Simplify right side
    5,232,892.44x = 12,864,600,446,151.16
  5. Step 5: Solve for x
    x = 12,864,600,446,151.16/5,232,892.44
  6. Step 6: Final answer
    x = 2,458,411.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.