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Finding the Fourth Proportional to 5,686.60, 8,511.64 and 3,047.48

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Solution

The fourth proportional to 5,686.60, 8,511.64 and 3,047.48 is: 4,561.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.60 : 8,511.64 = 3,047.48 : x
  2. Step 2: Convert to fraction form
    5,686.60/8,511.64 = 3,047.48/x
  3. Step 3: Cross multiply
    5,686.60x = 8,511.64 × 3,047.48
  4. Step 4: Simplify right side
    5,686.60x = 25,939,052.67
  5. Step 5: Solve for x
    x = 25,939,052.67/5,686.60
  6. Step 6: Final answer
    x = 4,561.43

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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.