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Finding the Fourth Proportional to 3,374.84, 5,064.42 and 1,295.04

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Solution

The fourth proportional to 3,374.84, 5,064.42 and 1,295.04 is: 1,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374.84 : 5,064.42 = 1,295.04 : x
  2. Step 2: Convert to fraction form
    3,374.84/5,064.42 = 1,295.04/x
  3. Step 3: Cross multiply
    3,374.84x = 5,064.42 × 1,295.04
  4. Step 4: Simplify right side
    3,374.84x = 6,558,626.48
  5. Step 5: Solve for x
    x = 6,558,626.48/3,374.84
  6. Step 6: Final answer
    x = 1,943.39

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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.