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Finding the Fourth Proportional to 4,182.08, 5,770.80 and 2,588

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Solution

The fourth proportional to 4,182.08, 5,770.80 and 2,588 is: 3,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.08 : 5,770.80 = 2,588 : x
  2. Step 2: Convert to fraction form
    4,182.08/5,770.80 = 2,588/x
  3. Step 3: Cross multiply
    4,182.08x = 5,770.80 × 2,588
  4. Step 4: Simplify right side
    4,182.08x = 14,934,830.40
  5. Step 5: Solve for x
    x = 14,934,830.40/4,182.08
  6. Step 6: Final answer
    x = 3,571.15

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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.