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Finding the Fourth Proportional to 5,064.66, 7,595.07 and 2,431.42

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Solution

The fourth proportional to 5,064.66, 7,595.07 and 2,431.42 is: 3,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,064.66 : 7,595.07 = 2,431.42 : x
  2. Step 2: Convert to fraction form
    5,064.66/7,595.07 = 2,431.42/x
  3. Step 3: Cross multiply
    5,064.66x = 7,595.07 × 2,431.42
  4. Step 4: Simplify right side
    5,064.66x = 18,466,805.48
  5. Step 5: Solve for x
    x = 18,466,805.48/5,064.66
  6. Step 6: Final answer
    x = 3,646.21

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