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Finding the Fourth Proportional to 5,074.53, 6,987.57 and 4,778.61

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Solution

The fourth proportional to 5,074.53, 6,987.57 and 4,778.61 is: 6,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074.53 : 6,987.57 = 4,778.61 : x
  2. Step 2: Convert to fraction form
    5,074.53/6,987.57 = 4,778.61/x
  3. Step 3: Cross multiply
    5,074.53x = 6,987.57 × 4,778.61
  4. Step 4: Simplify right side
    5,074.53x = 33,390,871.88
  5. Step 5: Solve for x
    x = 33,390,871.88/5,074.53
  6. Step 6: Final answer
    x = 6,580.09

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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.