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Finding the Fourth Proportional to 3,501.62, 5,251.02 and 1,746.03

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Solution

The fourth proportional to 3,501.62, 5,251.02 and 1,746.03 is: 2,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.62 : 5,251.02 = 1,746.03 : x
  2. Step 2: Convert to fraction form
    3,501.62/5,251.02 = 1,746.03/x
  3. Step 3: Cross multiply
    3,501.62x = 5,251.02 × 1,746.03
  4. Step 4: Simplify right side
    3,501.62x = 9,168,438.45
  5. Step 5: Solve for x
    x = 9,168,438.45/3,501.62
  6. Step 6: Final answer
    x = 2,618.35

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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.