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Finding the Fourth Proportional to 5,565.71, 8,341.28 and 2,274.89

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Solution

The fourth proportional to 5,565.71, 8,341.28 and 2,274.89 is: 3,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,565.71 : 8,341.28 = 2,274.89 : x
  2. Step 2: Convert to fraction form
    5,565.71/8,341.28 = 2,274.89/x
  3. Step 3: Cross multiply
    5,565.71x = 8,341.28 × 2,274.89
  4. Step 4: Simplify right side
    5,565.71x = 18,975,449.91
  5. Step 5: Solve for x
    x = 18,975,449.91/5,565.71
  6. Step 6: Final answer
    x = 3,409.35

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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.