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Finding the Fourth Proportional to 4,470.84, 6,175.98 and 4,252.14

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Solution

The fourth proportional to 4,470.84, 6,175.98 and 4,252.14 is: 5,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.84 : 6,175.98 = 4,252.14 : x
  2. Step 2: Convert to fraction form
    4,470.84/6,175.98 = 4,252.14/x
  3. Step 3: Cross multiply
    4,470.84x = 6,175.98 × 4,252.14
  4. Step 4: Simplify right side
    4,470.84x = 26,261,131.60
  5. Step 5: Solve for x
    x = 26,261,131.60/4,470.84
  6. Step 6: Final answer
    x = 5,873.87

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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.