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Finding the Fourth Proportional to 5,686.80, 8,530.20 and 5,071.20

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Solution

The fourth proportional to 5,686.80, 8,530.20 and 5,071.20 is: 7,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.80 : 8,530.20 = 5,071.20 : x
  2. Step 2: Convert to fraction form
    5,686.80/8,530.20 = 5,071.20/x
  3. Step 3: Cross multiply
    5,686.80x = 8,530.20 × 5,071.20
  4. Step 4: Simplify right side
    5,686.80x = 43,258,350.24
  5. Step 5: Solve for x
    x = 43,258,350.24/5,686.80
  6. Step 6: Final answer
    x = 7,606.80

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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.