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Finding the Fourth Proportional to 3,424.01, 4,725.13 and 1,931.90

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Solution

The fourth proportional to 3,424.01, 4,725.13 and 1,931.90 is: 2,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.01 : 4,725.13 = 1,931.90 : x
  2. Step 2: Convert to fraction form
    3,424.01/4,725.13 = 1,931.90/x
  3. Step 3: Cross multiply
    3,424.01x = 4,725.13 × 1,931.90
  4. Step 4: Simplify right side
    3,424.01x = 9,128,445.36
  5. Step 5: Solve for x
    x = 9,128,445.36/3,424.01
  6. Step 6: Final answer
    x = 2,666.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.