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Finding the Fourth Proportional to 3,830.47, 5,743.74 and 1,491.13

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Solution

The fourth proportional to 3,830.47, 5,743.74 and 1,491.13 is: 2,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.47 : 5,743.74 = 1,491.13 : x
  2. Step 2: Convert to fraction form
    3,830.47/5,743.74 = 1,491.13/x
  3. Step 3: Cross multiply
    3,830.47x = 5,743.74 × 1,491.13
  4. Step 4: Simplify right side
    3,830.47x = 8,564,663.03
  5. Step 5: Solve for x
    x = 8,564,663.03/3,830.47
  6. Step 6: Final answer
    x = 2,235.93

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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.