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Finding the Fourth Proportional to 6,280.80, 8,657.56 and 4,952.32

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Solution

The fourth proportional to 6,280.80, 8,657.56 and 4,952.32 is: 6,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.80 : 8,657.56 = 4,952.32 : x
  2. Step 2: Convert to fraction form
    6,280.80/8,657.56 = 4,952.32/x
  3. Step 3: Cross multiply
    6,280.80x = 8,657.56 × 4,952.32
  4. Step 4: Simplify right side
    6,280.80x = 42,875,007.54
  5. Step 5: Solve for x
    x = 42,875,007.54/6,280.80
  6. Step 6: Final answer
    x = 6,826.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.