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Finding the Fourth Proportional to 5,586.80, 8,419.44 and 5,032.20

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Solution

The fourth proportional to 5,586.80, 8,419.44 and 5,032.20 is: 7,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.80 : 8,419.44 = 5,032.20 : x
  2. Step 2: Convert to fraction form
    5,586.80/8,419.44 = 5,032.20/x
  3. Step 3: Cross multiply
    5,586.80x = 8,419.44 × 5,032.20
  4. Step 4: Simplify right side
    5,586.80x = 42,368,305.97
  5. Step 5: Solve for x
    x = 42,368,305.97/5,586.80
  6. Step 6: Final answer
    x = 7,583.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.