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Finding the Fourth Proportional to 6,280.65, 9,424.59 and 2,585.52

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Solution

The fourth proportional to 6,280.65, 9,424.59 and 2,585.52 is: 3,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.65 : 9,424.59 = 2,585.52 : x
  2. Step 2: Convert to fraction form
    6,280.65/9,424.59 = 2,585.52/x
  3. Step 3: Cross multiply
    6,280.65x = 9,424.59 × 2,585.52
  4. Step 4: Simplify right side
    6,280.65x = 24,367,465.94
  5. Step 5: Solve for x
    x = 24,367,465.94/6,280.65
  6. Step 6: Final answer
    x = 3,879.77

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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.