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Finding the Fourth Proportional to 4,627.78, 6,966.44 and 4,151.50

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Solution

The fourth proportional to 4,627.78, 6,966.44 and 4,151.50 is: 6,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.78 : 6,966.44 = 4,151.50 : x
  2. Step 2: Convert to fraction form
    4,627.78/6,966.44 = 4,151.50/x
  3. Step 3: Cross multiply
    4,627.78x = 6,966.44 × 4,151.50
  4. Step 4: Simplify right side
    4,627.78x = 28,921,175.66
  5. Step 5: Solve for x
    x = 28,921,175.66/4,627.78
  6. Step 6: Final answer
    x = 6,249.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.