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Finding the Fourth Proportional to 6,543.48, 9,030.24 and 3,749.52

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Solution

The fourth proportional to 6,543.48, 9,030.24 and 3,749.52 is: 5,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.48 : 9,030.24 = 3,749.52 : x
  2. Step 2: Convert to fraction form
    6,543.48/9,030.24 = 3,749.52/x
  3. Step 3: Cross multiply
    6,543.48x = 9,030.24 × 3,749.52
  4. Step 4: Simplify right side
    6,543.48x = 33,859,065.48
  5. Step 5: Solve for x
    x = 33,859,065.48/6,543.48
  6. Step 6: Final answer
    x = 5,174.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.