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Finding the Fourth Proportional to 5,125.70, 7,688.55 and 4,202.30

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Solution

The fourth proportional to 5,125.70, 7,688.55 and 4,202.30 is: 6,303.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.70 : 7,688.55 = 4,202.30 : x
  2. Step 2: Convert to fraction form
    5,125.70/7,688.55 = 4,202.30/x
  3. Step 3: Cross multiply
    5,125.70x = 7,688.55 × 4,202.30
  4. Step 4: Simplify right side
    5,125.70x = 32,309,593.67
  5. Step 5: Solve for x
    x = 32,309,593.67/5,125.70
  6. Step 6: Final answer
    x = 6,303.45

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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.