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Finding the Fourth Proportional to 5,297.96, 7,294.51 and 4,499.57

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Solution

The fourth proportional to 5,297.96, 7,294.51 and 4,499.57 is: 6,195.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.96 : 7,294.51 = 4,499.57 : x
  2. Step 2: Convert to fraction form
    5,297.96/7,294.51 = 4,499.57/x
  3. Step 3: Cross multiply
    5,297.96x = 7,294.51 × 4,499.57
  4. Step 4: Simplify right side
    5,297.96x = 32,822,145.75
  5. Step 5: Solve for x
    x = 32,822,145.75/5,297.96
  6. Step 6: Final answer
    x = 6,195.25

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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.