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Finding the Fourth Proportional to 3,223.60, 4,829.08 and 2,880.40

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Solution

The fourth proportional to 3,223.60, 4,829.08 and 2,880.40 is: 4,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.60 : 4,829.08 = 2,880.40 : x
  2. Step 2: Convert to fraction form
    3,223.60/4,829.08 = 2,880.40/x
  3. Step 3: Cross multiply
    3,223.60x = 4,829.08 × 2,880.40
  4. Step 4: Simplify right side
    3,223.60x = 13,909,682.03
  5. Step 5: Solve for x
    x = 13,909,682.03/3,223.60
  6. Step 6: Final answer
    x = 4,314.95

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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.