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Finding the Fourth Proportional to 5,317.84, 7,337.64 and 3,079.80

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Solution

The fourth proportional to 5,317.84, 7,337.64 and 3,079.80 is: 4,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,317.84 : 7,337.64 = 3,079.80 : x
  2. Step 2: Convert to fraction form
    5,317.84/7,337.64 = 3,079.80/x
  3. Step 3: Cross multiply
    5,317.84x = 7,337.64 × 3,079.80
  4. Step 4: Simplify right side
    5,317.84x = 22,598,463.67
  5. Step 5: Solve for x
    x = 22,598,463.67/5,317.84
  6. Step 6: Final answer
    x = 4,249.56

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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.