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Finding the Fourth Proportional to 4,599.60, 6,883.20 and 3,206.40

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Solution

The fourth proportional to 4,599.60, 6,883.20 and 3,206.40 is: 4,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.60 : 6,883.20 = 3,206.40 : x
  2. Step 2: Convert to fraction form
    4,599.60/6,883.20 = 3,206.40/x
  3. Step 3: Cross multiply
    4,599.60x = 6,883.20 × 3,206.40
  4. Step 4: Simplify right side
    4,599.60x = 22,070,292.48
  5. Step 5: Solve for x
    x = 22,070,292.48/4,599.60
  6. Step 6: Final answer
    x = 4,798.31

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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.