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Finding the Fourth Proportional to 4,407.60, 6,605.40 and 2,842.80

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Solution

The fourth proportional to 4,407.60, 6,605.40 and 2,842.80 is: 4,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.60 : 6,605.40 = 2,842.80 : x
  2. Step 2: Convert to fraction form
    4,407.60/6,605.40 = 2,842.80/x
  3. Step 3: Cross multiply
    4,407.60x = 6,605.40 × 2,842.80
  4. Step 4: Simplify right side
    4,407.60x = 18,777,831.12
  5. Step 5: Solve for x
    x = 18,777,831.12/4,407.60
  6. Step 6: Final answer
    x = 4,260.33

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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.