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Finding the Fourth Proportional to 3,970.15, 5,952.92 and 1,503.38

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Solution

The fourth proportional to 3,970.15, 5,952.92 and 1,503.38 is: 2,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.15 : 5,952.92 = 1,503.38 : x
  2. Step 2: Convert to fraction form
    3,970.15/5,952.92 = 1,503.38/x
  3. Step 3: Cross multiply
    3,970.15x = 5,952.92 × 1,503.38
  4. Step 4: Simplify right side
    3,970.15x = 8,949,508.23
  5. Step 5: Solve for x
    x = 8,949,508.23/3,970.15
  6. Step 6: Final answer
    x = 2,254.20

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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.