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Finding the Fourth Proportional to 3,475.32, 5,212.86 and 1,010.16

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Solution

The fourth proportional to 3,475.32, 5,212.86 and 1,010.16 is: 1,515.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.32 : 5,212.86 = 1,010.16 : x
  2. Step 2: Convert to fraction form
    3,475.32/5,212.86 = 1,010.16/x
  3. Step 3: Cross multiply
    3,475.32x = 5,212.86 × 1,010.16
  4. Step 4: Simplify right side
    3,475.32x = 5,265,822.66
  5. Step 5: Solve for x
    x = 5,265,822.66/3,475.32
  6. Step 6: Final answer
    x = 1,515.21

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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.