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Finding the Fourth Proportional to 5,724.63, 8,585.95 and 1,721.95

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Solution

The fourth proportional to 5,724.63, 8,585.95 and 1,721.95 is: 2,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.63 : 8,585.95 = 1,721.95 : x
  2. Step 2: Convert to fraction form
    5,724.63/8,585.95 = 1,721.95/x
  3. Step 3: Cross multiply
    5,724.63x = 8,585.95 × 1,721.95
  4. Step 4: Simplify right side
    5,724.63x = 14,784,576.60
  5. Step 5: Solve for x
    x = 14,784,576.60/5,724.63
  6. Step 6: Final answer
    x = 2,582.63

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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.