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Finding the Fourth Proportional to 5,377.34, 7,420.70 and 3,019.47

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Solution

The fourth proportional to 5,377.34, 7,420.70 and 3,019.47 is: 4,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.34 : 7,420.70 = 3,019.47 : x
  2. Step 2: Convert to fraction form
    5,377.34/7,420.70 = 3,019.47/x
  3. Step 3: Cross multiply
    5,377.34x = 7,420.70 × 3,019.47
  4. Step 4: Simplify right side
    5,377.34x = 22,406,565.93
  5. Step 5: Solve for x
    x = 22,406,565.93/5,377.34
  6. Step 6: Final answer
    x = 4,166.85

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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.