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Finding the Fourth Proportional to 3,567.17, 5,350.76 and 970.11

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Solution

The fourth proportional to 3,567.17, 5,350.76 and 970.11 is: 1,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.17 : 5,350.76 = 970.11 : x
  2. Step 2: Convert to fraction form
    3,567.17/5,350.76 = 970.11/x
  3. Step 3: Cross multiply
    3,567.17x = 5,350.76 × 970.11
  4. Step 4: Simplify right side
    3,567.17x = 5,190,824.57
  5. Step 5: Solve for x
    x = 5,190,824.57/3,567.17
  6. Step 6: Final answer
    x = 1,455.17

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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.