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Finding the Fourth Proportional to 5,772.80, 8,645.76 and 4,230.40

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Solution

The fourth proportional to 5,772.80, 8,645.76 and 4,230.40 is: 6,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.80 : 8,645.76 = 4,230.40 : x
  2. Step 2: Convert to fraction form
    5,772.80/8,645.76 = 4,230.40/x
  3. Step 3: Cross multiply
    5,772.80x = 8,645.76 × 4,230.40
  4. Step 4: Simplify right side
    5,772.80x = 36,575,023.10
  5. Step 5: Solve for x
    x = 36,575,023.10/5,772.80
  6. Step 6: Final answer
    x = 6,335.75

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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.