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Finding the Fourth Proportional to 3,138.01, 4,328.03 and 2,298.40

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Solution

The fourth proportional to 3,138.01, 4,328.03 and 2,298.40 is: 3,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.01 : 4,328.03 = 2,298.40 : x
  2. Step 2: Convert to fraction form
    3,138.01/4,328.03 = 2,298.40/x
  3. Step 3: Cross multiply
    3,138.01x = 4,328.03 × 2,298.40
  4. Step 4: Simplify right side
    3,138.01x = 9,947,539.08
  5. Step 5: Solve for x
    x = 9,947,539.08/3,138.01
  6. Step 6: Final answer
    x = 3,170.02

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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.