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Finding the Fourth Proportional to 3,849.76, 5,798.87 and 3,505.28

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Solution

The fourth proportional to 3,849.76, 5,798.87 and 3,505.28 is: 5,279.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.76 : 5,798.87 = 3,505.28 : x
  2. Step 2: Convert to fraction form
    3,849.76/5,798.87 = 3,505.28/x
  3. Step 3: Cross multiply
    3,849.76x = 5,798.87 × 3,505.28
  4. Step 4: Simplify right side
    3,849.76x = 20,326,663.03
  5. Step 5: Solve for x
    x = 20,326,663.03/3,849.76
  6. Step 6: Final answer
    x = 5,279.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.