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Finding the Fourth Proportional to 6,701.60, 10,052.40 and 2,319.20

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Solution

The fourth proportional to 6,701.60, 10,052.40 and 2,319.20 is: 3,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.60 : 10,052.40 = 2,319.20 : x
  2. Step 2: Convert to fraction form
    6,701.60/10,052.40 = 2,319.20/x
  3. Step 3: Cross multiply
    6,701.60x = 10,052.40 × 2,319.20
  4. Step 4: Simplify right side
    6,701.60x = 23,313,526.08
  5. Step 5: Solve for x
    x = 23,313,526.08/6,701.60
  6. Step 6: Final answer
    x = 3,478.80

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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.