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Finding the Fourth Proportional to 6,585.60, 9,879.48 and 2,204.40

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Solution

The fourth proportional to 6,585.60, 9,879.48 and 2,204.40 is: 3,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.60 : 9,879.48 = 2,204.40 : x
  2. Step 2: Convert to fraction form
    6,585.60/9,879.48 = 2,204.40/x
  3. Step 3: Cross multiply
    6,585.60x = 9,879.48 × 2,204.40
  4. Step 4: Simplify right side
    6,585.60x = 21,778,325.71
  5. Step 5: Solve for x
    x = 21,778,325.71/6,585.60
  6. Step 6: Final answer
    x = 3,306.96

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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.