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Finding the Fourth Proportional to 4,756.17, 6,566.60 and 4,257.95

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Solution

The fourth proportional to 4,756.17, 6,566.60 and 4,257.95 is: 5,878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.17 : 6,566.60 = 4,257.95 : x
  2. Step 2: Convert to fraction form
    4,756.17/6,566.60 = 4,257.95/x
  3. Step 3: Cross multiply
    4,756.17x = 6,566.60 × 4,257.95
  4. Step 4: Simplify right side
    4,756.17x = 27,960,233.18
  5. Step 5: Solve for x
    x = 27,960,233.18/4,756.17
  6. Step 6: Final answer
    x = 5,878.73

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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.