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Finding the Fourth Proportional to 4,597.38, 6,901.47 and 2,407.14

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Solution

The fourth proportional to 4,597.38, 6,901.47 and 2,407.14 is: 3,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.38 : 6,901.47 = 2,407.14 : x
  2. Step 2: Convert to fraction form
    4,597.38/6,901.47 = 2,407.14/x
  3. Step 3: Cross multiply
    4,597.38x = 6,901.47 × 2,407.14
  4. Step 4: Simplify right side
    4,597.38x = 16,612,804.50
  5. Step 5: Solve for x
    x = 16,612,804.50/4,597.38
  6. Step 6: Final answer
    x = 3,613.54

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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.