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Finding the Fourth Proportional to 3,341.24, 5,012.16 and 876.05

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Solution

The fourth proportional to 3,341.24, 5,012.16 and 876.05 is: 1,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.24 : 5,012.16 = 876.05 : x
  2. Step 2: Convert to fraction form
    3,341.24/5,012.16 = 876.05/x
  3. Step 3: Cross multiply
    3,341.24x = 5,012.16 × 876.05
  4. Step 4: Simplify right side
    3,341.24x = 4,390,902.77
  5. Step 5: Solve for x
    x = 4,390,902.77/3,341.24
  6. Step 6: Final answer
    x = 1,314.15

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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.