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Finding the Fourth Proportional to 6,710.64, 9,259.98 and 3,725.79

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Solution

The fourth proportional to 6,710.64, 9,259.98 and 3,725.79 is: 5,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.64 : 9,259.98 = 3,725.79 : x
  2. Step 2: Convert to fraction form
    6,710.64/9,259.98 = 3,725.79/x
  3. Step 3: Cross multiply
    6,710.64x = 9,259.98 × 3,725.79
  4. Step 4: Simplify right side
    6,710.64x = 34,500,740.88
  5. Step 5: Solve for x
    x = 34,500,740.88/6,710.64
  6. Step 6: Final answer
    x = 5,141.20

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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.