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Finding the Fourth Proportional to 5,825.64, 8,737.53 and 1,607.91

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Solution

The fourth proportional to 5,825.64, 8,737.53 and 1,607.91 is: 2,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.64 : 8,737.53 = 1,607.91 : x
  2. Step 2: Convert to fraction form
    5,825.64/8,737.53 = 1,607.91/x
  3. Step 3: Cross multiply
    5,825.64x = 8,737.53 × 1,607.91
  4. Step 4: Simplify right side
    5,825.64x = 14,049,161.86
  5. Step 5: Solve for x
    x = 14,049,161.86/5,825.64
  6. Step 6: Final answer
    x = 2,411.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.