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Finding the Fourth Proportional to 4,269.64, 5,892.58 and 2,502.74

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Solution

The fourth proportional to 4,269.64, 5,892.58 and 2,502.74 is: 3,454.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.64 : 5,892.58 = 2,502.74 : x
  2. Step 2: Convert to fraction form
    4,269.64/5,892.58 = 2,502.74/x
  3. Step 3: Cross multiply
    4,269.64x = 5,892.58 × 2,502.74
  4. Step 4: Simplify right side
    4,269.64x = 14,747,595.67
  5. Step 5: Solve for x
    x = 14,747,595.67/4,269.64
  6. Step 6: Final answer
    x = 3,454.06

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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.