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Finding the Fourth Proportional to 5,628.52, 8,443.70 and 1,732.93

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Solution

The fourth proportional to 5,628.52, 8,443.70 and 1,732.93 is: 2,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.52 : 8,443.70 = 1,732.93 : x
  2. Step 2: Convert to fraction form
    5,628.52/8,443.70 = 1,732.93/x
  3. Step 3: Cross multiply
    5,628.52x = 8,443.70 × 1,732.93
  4. Step 4: Simplify right side
    5,628.52x = 14,632,341.04
  5. Step 5: Solve for x
    x = 14,632,341.04/5,628.52
  6. Step 6: Final answer
    x = 2,599.68

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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.