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Finding the Fourth Proportional to 5,711.84, 8,567.04 and 1,552.16

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Solution

The fourth proportional to 5,711.84, 8,567.04 and 1,552.16 is: 2,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.84 : 8,567.04 = 1,552.16 : x
  2. Step 2: Convert to fraction form
    5,711.84/8,567.04 = 1,552.16/x
  3. Step 3: Cross multiply
    5,711.84x = 8,567.04 × 1,552.16
  4. Step 4: Simplify right side
    5,711.84x = 13,297,416.81
  5. Step 5: Solve for x
    x = 13,297,416.81/5,711.84
  6. Step 6: Final answer
    x = 2,328.04

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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.