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Finding the Fourth Proportional to 5,093.52, 7,642.88 and 2,319.84

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Solution

The fourth proportional to 5,093.52, 7,642.88 and 2,319.84 is: 3,480.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.52 : 7,642.88 = 2,319.84 : x
  2. Step 2: Convert to fraction form
    5,093.52/7,642.88 = 2,319.84/x
  3. Step 3: Cross multiply
    5,093.52x = 7,642.88 × 2,319.84
  4. Step 4: Simplify right side
    5,093.52x = 17,730,258.74
  5. Step 5: Solve for x
    x = 17,730,258.74/5,093.52
  6. Step 6: Final answer
    x = 3,480.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.