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Finding the Fourth Proportional to 3,567.52, 5,350.88 and 970.24

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Solution

The fourth proportional to 3,567.52, 5,350.88 and 970.24 is: 1,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.52 : 5,350.88 = 970.24 : x
  2. Step 2: Convert to fraction form
    3,567.52/5,350.88 = 970.24/x
  3. Step 3: Cross multiply
    3,567.52x = 5,350.88 × 970.24
  4. Step 4: Simplify right side
    3,567.52x = 5,191,637.81
  5. Step 5: Solve for x
    x = 5,191,637.81/3,567.52
  6. Step 6: Final answer
    x = 1,455.25

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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.