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Finding the Fourth Proportional to 6,458.40, 9,681.84 and 2,560.14

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Solution

The fourth proportional to 6,458.40, 9,681.84 and 2,560.14 is: 3,837.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.40 : 9,681.84 = 2,560.14 : x
  2. Step 2: Convert to fraction form
    6,458.40/9,681.84 = 2,560.14/x
  3. Step 3: Cross multiply
    6,458.40x = 9,681.84 × 2,560.14
  4. Step 4: Simplify right side
    6,458.40x = 24,786,865.86
  5. Step 5: Solve for x
    x = 24,786,865.86/6,458.40
  6. Step 6: Final answer
    x = 3,837.93

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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.