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Finding the Fourth Proportional to 6,587.60, 9,881.40 and 2,205.20

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Solution

The fourth proportional to 6,587.60, 9,881.40 and 2,205.20 is: 3,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.60 : 9,881.40 = 2,205.20 : x
  2. Step 2: Convert to fraction form
    6,587.60/9,881.40 = 2,205.20/x
  3. Step 3: Cross multiply
    6,587.60x = 9,881.40 × 2,205.20
  4. Step 4: Simplify right side
    6,587.60x = 21,790,463.28
  5. Step 5: Solve for x
    x = 21,790,463.28/6,587.60
  6. Step 6: Final answer
    x = 3,307.80

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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.