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Finding the Fourth Proportional to 4,536.78, 6,799.32 and 1,901.32

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Solution

The fourth proportional to 4,536.78, 6,799.32 and 1,901.32 is: 2,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.78 : 6,799.32 = 1,901.32 : x
  2. Step 2: Convert to fraction form
    4,536.78/6,799.32 = 1,901.32/x
  3. Step 3: Cross multiply
    4,536.78x = 6,799.32 × 1,901.32
  4. Step 4: Simplify right side
    4,536.78x = 12,927,683.10
  5. Step 5: Solve for x
    x = 12,927,683.10/4,536.78
  6. Step 6: Final answer
    x = 2,849.53

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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.