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Finding the Fourth Proportional to 5,574.90, 8,361 and 1,876.17

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Solution

The fourth proportional to 5,574.90, 8,361 and 1,876.17 is: 2,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.90 : 8,361 = 1,876.17 : x
  2. Step 2: Convert to fraction form
    5,574.90/8,361 = 1,876.17/x
  3. Step 3: Cross multiply
    5,574.90x = 8,361 × 1,876.17
  4. Step 4: Simplify right side
    5,574.90x = 15,686,657.37
  5. Step 5: Solve for x
    x = 15,686,657.37/5,574.90
  6. Step 6: Final answer
    x = 2,813.80

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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.