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Finding the Fourth Proportional to 5,370.64, 7,410.70 and 3,132.16

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Solution

The fourth proportional to 5,370.64, 7,410.70 and 3,132.16 is: 4,321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.64 : 7,410.70 = 3,132.16 : x
  2. Step 2: Convert to fraction form
    5,370.64/7,410.70 = 3,132.16/x
  3. Step 3: Cross multiply
    5,370.64x = 7,410.70 × 3,132.16
  4. Step 4: Simplify right side
    5,370.64x = 23,211,498.11
  5. Step 5: Solve for x
    x = 23,211,498.11/5,370.64
  6. Step 6: Final answer
    x = 4,321.92

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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.