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Finding the Fourth Proportional to 3,567.76, 5,352.04 and 970.72

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Solution

The fourth proportional to 3,567.76, 5,352.04 and 970.72 is: 1,456.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.76 : 5,352.04 = 970.72 : x
  2. Step 2: Convert to fraction form
    3,567.76/5,352.04 = 970.72/x
  3. Step 3: Cross multiply
    3,567.76x = 5,352.04 × 970.72
  4. Step 4: Simplify right side
    3,567.76x = 5,195,332.27
  5. Step 5: Solve for x
    x = 5,195,332.27/3,567.76
  6. Step 6: Final answer
    x = 1,456.19

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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.