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Finding the Fourth Proportional to 5,695.68, 8,539.20 and 4,728

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Solution

The fourth proportional to 5,695.68, 8,539.20 and 4,728 is: 7,088.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.68 : 8,539.20 = 4,728 : x
  2. Step 2: Convert to fraction form
    5,695.68/8,539.20 = 4,728/x
  3. Step 3: Cross multiply
    5,695.68x = 8,539.20 × 4,728
  4. Step 4: Simplify right side
    5,695.68x = 40,373,337.60
  5. Step 5: Solve for x
    x = 40,373,337.60/5,695.68
  6. Step 6: Final answer
    x = 7,088.41

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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.