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Finding the Fourth Proportional to 3,465, 5,194.68 and 2,002.50

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Solution

The fourth proportional to 3,465, 5,194.68 and 2,002.50 is: 3,002.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465 : 5,194.68 = 2,002.50 : x
  2. Step 2: Convert to fraction form
    3,465/5,194.68 = 2,002.50/x
  3. Step 3: Cross multiply
    3,465x = 5,194.68 × 2,002.50
  4. Step 4: Simplify right side
    3,465x = 10,402,346.70
  5. Step 5: Solve for x
    x = 10,402,346.70/3,465
  6. Step 6: Final answer
    x = 3,002.12

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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.