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Finding the Fourth Proportional to 5,377.47, 7,420.50 and 3,019.16

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Solution

The fourth proportional to 5,377.47, 7,420.50 and 3,019.16 is: 4,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.47 : 7,420.50 = 3,019.16 : x
  2. Step 2: Convert to fraction form
    5,377.47/7,420.50 = 3,019.16/x
  3. Step 3: Cross multiply
    5,377.47x = 7,420.50 × 3,019.16
  4. Step 4: Simplify right side
    5,377.47x = 22,403,676.78
  5. Step 5: Solve for x
    x = 22,403,676.78/5,377.47
  6. Step 6: Final answer
    x = 4,166.21

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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.