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Finding the Fourth Proportional to 3,468.16, 5,204.32 and 1,416

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Solution

The fourth proportional to 3,468.16, 5,204.32 and 1,416 is: 2,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.16 : 5,204.32 = 1,416 : x
  2. Step 2: Convert to fraction form
    3,468.16/5,204.32 = 1,416/x
  3. Step 3: Cross multiply
    3,468.16x = 5,204.32 × 1,416
  4. Step 4: Simplify right side
    3,468.16x = 7,369,317.12
  5. Step 5: Solve for x
    x = 7,369,317.12/3,468.16
  6. Step 6: Final answer
    x = 2,124.85

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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.