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Finding the Fourth Proportional to 3,916.52, 5,875.16 and 1,143.22

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Solution

The fourth proportional to 3,916.52, 5,875.16 and 1,143.22 is: 1,714.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.52 : 5,875.16 = 1,143.22 : x
  2. Step 2: Convert to fraction form
    3,916.52/5,875.16 = 1,143.22/x
  3. Step 3: Cross multiply
    3,916.52x = 5,875.16 × 1,143.22
  4. Step 4: Simplify right side
    3,916.52x = 6,716,600.42
  5. Step 5: Solve for x
    x = 6,716,600.42/3,916.52
  6. Step 6: Final answer
    x = 1,714.94

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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.