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Finding the Fourth Proportional to 3,374.96, 5,062.64 and 1,426.50

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Solution

The fourth proportional to 3,374.96, 5,062.64 and 1,426.50 is: 2,139.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.96 : 5,062.64 = 1,426.50 : x
  2. Step 2: Convert to fraction form
    3,374.96/5,062.64 = 1,426.50/x
  3. Step 3: Cross multiply
    3,374.96x = 5,062.64 × 1,426.50
  4. Step 4: Simplify right side
    3,374.96x = 7,221,848.83
  5. Step 5: Solve for x
    x = 7,221,848.83/3,374.96
  6. Step 6: Final answer
    x = 2,139.84

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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.