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Finding the Fourth Proportional to 5,371.60, 7,412.44 and 3,013.16

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Solution

The fourth proportional to 5,371.60, 7,412.44 and 3,013.16 is: 4,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.60 : 7,412.44 = 3,013.16 : x
  2. Step 2: Convert to fraction form
    5,371.60/7,412.44 = 3,013.16/x
  3. Step 3: Cross multiply
    5,371.60x = 7,412.44 × 3,013.16
  4. Step 4: Simplify right side
    5,371.60x = 22,334,867.71
  5. Step 5: Solve for x
    x = 22,334,867.71/5,371.60
  6. Step 6: Final answer
    x = 4,157.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.