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Finding the Fourth Proportional to 5,158.22, 7,737.43 and 1,695.47

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Solution

The fourth proportional to 5,158.22, 7,737.43 and 1,695.47 is: 2,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.22 : 7,737.43 = 1,695.47 : x
  2. Step 2: Convert to fraction form
    5,158.22/7,737.43 = 1,695.47/x
  3. Step 3: Cross multiply
    5,158.22x = 7,737.43 × 1,695.47
  4. Step 4: Simplify right side
    5,158.22x = 13,118,572.89
  5. Step 5: Solve for x
    x = 13,118,572.89/5,158.22
  6. Step 6: Final answer
    x = 2,543.24

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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.