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Finding the Fourth Proportional to 3,572.75, 5,359.20 and 975.76

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Solution

The fourth proportional to 3,572.75, 5,359.20 and 975.76 is: 1,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,572.75 : 5,359.20 = 975.76 : x
  2. Step 2: Convert to fraction form
    3,572.75/5,359.20 = 975.76/x
  3. Step 3: Cross multiply
    3,572.75x = 5,359.20 × 975.76
  4. Step 4: Simplify right side
    3,572.75x = 5,229,292.99
  5. Step 5: Solve for x
    x = 5,229,292.99/3,572.75
  6. Step 6: Final answer
    x = 1,463.66

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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.