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Finding the Fourth Proportional to 4,207.46, 5,806.22 and 2,507.15

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Solution

The fourth proportional to 4,207.46, 5,806.22 and 2,507.15 is: 3,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.46 : 5,806.22 = 2,507.15 : x
  2. Step 2: Convert to fraction form
    4,207.46/5,806.22 = 2,507.15/x
  3. Step 3: Cross multiply
    4,207.46x = 5,806.22 × 2,507.15
  4. Step 4: Simplify right side
    4,207.46x = 14,557,064.47
  5. Step 5: Solve for x
    x = 14,557,064.47/4,207.46
  6. Step 6: Final answer
    x = 3,459.82

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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.