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Finding the Fourth Proportional to 5,378.81, 7,419.54 and 3,385.91

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Solution

The fourth proportional to 5,378.81, 7,419.54 and 3,385.91 is: 4,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.81 : 7,419.54 = 3,385.91 : x
  2. Step 2: Convert to fraction form
    5,378.81/7,419.54 = 3,385.91/x
  3. Step 3: Cross multiply
    5,378.81x = 7,419.54 × 3,385.91
  4. Step 4: Simplify right side
    5,378.81x = 25,121,894.68
  5. Step 5: Solve for x
    x = 25,121,894.68/5,378.81
  6. Step 6: Final answer
    x = 4,670.53

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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.