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Finding the Fourth Proportional to 3,903.40, 5,854.98 and 1,714

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Solution

The fourth proportional to 3,903.40, 5,854.98 and 1,714 is: 2,570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.40 : 5,854.98 = 1,714 : x
  2. Step 2: Convert to fraction form
    3,903.40/5,854.98 = 1,714/x
  3. Step 3: Cross multiply
    3,903.40x = 5,854.98 × 1,714
  4. Step 4: Simplify right side
    3,903.40x = 10,035,435.72
  5. Step 5: Solve for x
    x = 10,035,435.72/3,903.40
  6. Step 6: Final answer
    x = 2,570.95

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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.