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Finding the Fourth Proportional to 5,743.71, 8,607.53 and 3,105.52

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Solution

The fourth proportional to 5,743.71, 8,607.53 and 3,105.52 is: 4,653.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.71 : 8,607.53 = 3,105.52 : x
  2. Step 2: Convert to fraction form
    5,743.71/8,607.53 = 3,105.52/x
  3. Step 3: Cross multiply
    5,743.71x = 8,607.53 × 3,105.52
  4. Step 4: Simplify right side
    5,743.71x = 26,730,842.81
  5. Step 5: Solve for x
    x = 26,730,842.81/5,743.71
  6. Step 6: Final answer
    x = 4,653.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.