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Finding the Fourth Proportional to 5,341.26, 8,013.10 and 1,878.50

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Solution

The fourth proportional to 5,341.26, 8,013.10 and 1,878.50 is: 2,818.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.26 : 8,013.10 = 1,878.50 : x
  2. Step 2: Convert to fraction form
    5,341.26/8,013.10 = 1,878.50/x
  3. Step 3: Cross multiply
    5,341.26x = 8,013.10 × 1,878.50
  4. Step 4: Simplify right side
    5,341.26x = 15,052,608.35
  5. Step 5: Solve for x
    x = 15,052,608.35/5,341.26
  6. Step 6: Final answer
    x = 2,818.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.