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Finding the Fourth Proportional to 4,588.35, 6,882.71 and 1,468.80

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Solution

The fourth proportional to 4,588.35, 6,882.71 and 1,468.80 is: 2,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.35 : 6,882.71 = 1,468.80 : x
  2. Step 2: Convert to fraction form
    4,588.35/6,882.71 = 1,468.80/x
  3. Step 3: Cross multiply
    4,588.35x = 6,882.71 × 1,468.80
  4. Step 4: Simplify right side
    4,588.35x = 10,109,328.12
  5. Step 5: Solve for x
    x = 10,109,328.12/4,588.35
  6. Step 6: Final answer
    x = 2,203.26

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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.