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Finding the Fourth Proportional to 4,387.20, 6,574.16 and 1,920.64

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Solution

The fourth proportional to 4,387.20, 6,574.16 and 1,920.64 is: 2,878.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387.20 : 6,574.16 = 1,920.64 : x
  2. Step 2: Convert to fraction form
    4,387.20/6,574.16 = 1,920.64/x
  3. Step 3: Cross multiply
    4,387.20x = 6,574.16 × 1,920.64
  4. Step 4: Simplify right side
    4,387.20x = 12,626,594.66
  5. Step 5: Solve for x
    x = 12,626,594.66/4,387.20
  6. Step 6: Final answer
    x = 2,878.05

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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.