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Finding the Fourth Proportional to 5,702.16, 7,871.46 and 3,464.76

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Solution

The fourth proportional to 5,702.16, 7,871.46 and 3,464.76 is: 4,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.16 : 7,871.46 = 3,464.76 : x
  2. Step 2: Convert to fraction form
    5,702.16/7,871.46 = 3,464.76/x
  3. Step 3: Cross multiply
    5,702.16x = 7,871.46 × 3,464.76
  4. Step 4: Simplify right side
    5,702.16x = 27,272,719.75
  5. Step 5: Solve for x
    x = 27,272,719.75/5,702.16
  6. Step 6: Final answer
    x = 4,782.88

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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.