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Finding the Fourth Proportional to 3,526.62, 4,866.72 and 1,954.71

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Solution

The fourth proportional to 3,526.62, 4,866.72 and 1,954.71 is: 2,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.62 : 4,866.72 = 1,954.71 : x
  2. Step 2: Convert to fraction form
    3,526.62/4,866.72 = 1,954.71/x
  3. Step 3: Cross multiply
    3,526.62x = 4,866.72 × 1,954.71
  4. Step 4: Simplify right side
    3,526.62x = 9,513,026.25
  5. Step 5: Solve for x
    x = 9,513,026.25/3,526.62
  6. Step 6: Final answer
    x = 2,697.49

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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.