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Finding the Fourth Proportional to 4,895.67, 7,343.19 and 1,563.84

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Solution

The fourth proportional to 4,895.67, 7,343.19 and 1,563.84 is: 2,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.67 : 7,343.19 = 1,563.84 : x
  2. Step 2: Convert to fraction form
    4,895.67/7,343.19 = 1,563.84/x
  3. Step 3: Cross multiply
    4,895.67x = 7,343.19 × 1,563.84
  4. Step 4: Simplify right side
    4,895.67x = 11,483,574.25
  5. Step 5: Solve for x
    x = 11,483,574.25/4,895.67
  6. Step 6: Final answer
    x = 2,345.66

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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.