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Finding the Fourth Proportional to 3,585.87, 4,946.67 and 2,327.64

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Solution

The fourth proportional to 3,585.87, 4,946.67 and 2,327.64 is: 3,210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.87 : 4,946.67 = 2,327.64 : x
  2. Step 2: Convert to fraction form
    3,585.87/4,946.67 = 2,327.64/x
  3. Step 3: Cross multiply
    3,585.87x = 4,946.67 × 2,327.64
  4. Step 4: Simplify right side
    3,585.87x = 11,514,048.41
  5. Step 5: Solve for x
    x = 11,514,048.41/3,585.87
  6. Step 6: Final answer
    x = 3,210.95

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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.