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Finding the Fourth Proportional to 5,207.18, 7,808.25 and 1,508.40

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Solution

The fourth proportional to 5,207.18, 7,808.25 and 1,508.40 is: 2,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.18 : 7,808.25 = 1,508.40 : x
  2. Step 2: Convert to fraction form
    5,207.18/7,808.25 = 1,508.40/x
  3. Step 3: Cross multiply
    5,207.18x = 7,808.25 × 1,508.40
  4. Step 4: Simplify right side
    5,207.18x = 11,777,964.30
  5. Step 5: Solve for x
    x = 11,777,964.30/5,207.18
  6. Step 6: Final answer
    x = 2,261.87

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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.