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Finding the Fourth Proportional to 5,378.18, 7,424.93 and 3,491.47

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Solution

The fourth proportional to 5,378.18, 7,424.93 and 3,491.47 is: 4,820.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.18 : 7,424.93 = 3,491.47 : x
  2. Step 2: Convert to fraction form
    5,378.18/7,424.93 = 3,491.47/x
  3. Step 3: Cross multiply
    5,378.18x = 7,424.93 × 3,491.47
  4. Step 4: Simplify right side
    5,378.18x = 25,923,865.77
  5. Step 5: Solve for x
    x = 25,923,865.77/5,378.18
  6. Step 6: Final answer
    x = 4,820.19

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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.