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Finding the Fourth Proportional to 5,365.86, 7,397.33 and 4,627.68

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Solution

The fourth proportional to 5,365.86, 7,397.33 and 4,627.68 is: 6,379.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.86 : 7,397.33 = 4,627.68 : x
  2. Step 2: Convert to fraction form
    5,365.86/7,397.33 = 4,627.68/x
  3. Step 3: Cross multiply
    5,365.86x = 7,397.33 × 4,627.68
  4. Step 4: Simplify right side
    5,365.86x = 34,232,452.96
  5. Step 5: Solve for x
    x = 34,232,452.96/5,365.86
  6. Step 6: Final answer
    x = 6,379.68

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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.