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Finding the Fourth Proportional to 5,607.16, 8,411.82 and 1,909.24

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Solution

The fourth proportional to 5,607.16, 8,411.82 and 1,909.24 is: 2,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.16 : 8,411.82 = 1,909.24 : x
  2. Step 2: Convert to fraction form
    5,607.16/8,411.82 = 1,909.24/x
  3. Step 3: Cross multiply
    5,607.16x = 8,411.82 × 1,909.24
  4. Step 4: Simplify right side
    5,607.16x = 16,060,183.22
  5. Step 5: Solve for x
    x = 16,060,183.22/5,607.16
  6. Step 6: Final answer
    x = 2,864.23

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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.