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Finding the Fourth Proportional to 3,872.68, 5,810.14 and 1,407.46

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Solution

The fourth proportional to 3,872.68, 5,810.14 and 1,407.46 is: 2,111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.68 : 5,810.14 = 1,407.46 : x
  2. Step 2: Convert to fraction form
    3,872.68/5,810.14 = 1,407.46/x
  3. Step 3: Cross multiply
    3,872.68x = 5,810.14 × 1,407.46
  4. Step 4: Simplify right side
    3,872.68x = 8,177,539.64
  5. Step 5: Solve for x
    x = 8,177,539.64/3,872.68
  6. Step 6: Final answer
    x = 2,111.60

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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.