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Finding the Fourth Proportional to 4,385.80, 6,580.32 and 1,920.16

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Solution

The fourth proportional to 4,385.80, 6,580.32 and 1,920.16 is: 2,880.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.80 : 6,580.32 = 1,920.16 : x
  2. Step 2: Convert to fraction form
    4,385.80/6,580.32 = 1,920.16/x
  3. Step 3: Cross multiply
    4,385.80x = 6,580.32 × 1,920.16
  4. Step 4: Simplify right side
    4,385.80x = 12,635,267.25
  5. Step 5: Solve for x
    x = 12,635,267.25/4,385.80
  6. Step 6: Final answer
    x = 2,880.95

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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.