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Finding the Fourth Proportional to 3,862.63, 5,793.71 and 1,887.50

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Solution

The fourth proportional to 3,862.63, 5,793.71 and 1,887.50 is: 2,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.63 : 5,793.71 = 1,887.50 : x
  2. Step 2: Convert to fraction form
    3,862.63/5,793.71 = 1,887.50/x
  3. Step 3: Cross multiply
    3,862.63x = 5,793.71 × 1,887.50
  4. Step 4: Simplify right side
    3,862.63x = 10,935,598.66
  5. Step 5: Solve for x
    x = 10,935,598.66/3,862.63
  6. Step 6: Final answer
    x = 2,831.13

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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.