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Finding the Fourth Proportional to 5,148.48, 7,104.78 and 2,910

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Solution

The fourth proportional to 5,148.48, 7,104.78 and 2,910 is: 4,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.48 : 7,104.78 = 2,910 : x
  2. Step 2: Convert to fraction form
    5,148.48/7,104.78 = 2,910/x
  3. Step 3: Cross multiply
    5,148.48x = 7,104.78 × 2,910
  4. Step 4: Simplify right side
    5,148.48x = 20,674,909.80
  5. Step 5: Solve for x
    x = 20,674,909.80/5,148.48
  6. Step 6: Final answer
    x = 4,015.73

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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.