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Finding the Fourth Proportional to 3,864.58, 5,806.10 and 2,480.63

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Solution

The fourth proportional to 3,864.58, 5,806.10 and 2,480.63 is: 3,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.58 : 5,806.10 = 2,480.63 : x
  2. Step 2: Convert to fraction form
    3,864.58/5,806.10 = 2,480.63/x
  3. Step 3: Cross multiply
    3,864.58x = 5,806.10 × 2,480.63
  4. Step 4: Simplify right side
    3,864.58x = 14,402,785.84
  5. Step 5: Solve for x
    x = 14,402,785.84/3,864.58
  6. Step 6: Final answer
    x = 3,726.87

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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.