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Finding the Fourth Proportional to 4,294.04, 5,925.90 and 2,431

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Solution

The fourth proportional to 4,294.04, 5,925.90 and 2,431 is: 3,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.04 : 5,925.90 = 2,431 : x
  2. Step 2: Convert to fraction form
    4,294.04/5,925.90 = 2,431/x
  3. Step 3: Cross multiply
    4,294.04x = 5,925.90 × 2,431
  4. Step 4: Simplify right side
    4,294.04x = 14,405,862.90
  5. Step 5: Solve for x
    x = 14,405,862.90/4,294.04
  6. Step 6: Final answer
    x = 3,354.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.