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Finding the Fourth Proportional to 3,526.64, 4,866.57 and 1,954.64

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Solution

The fourth proportional to 3,526.64, 4,866.57 and 1,954.64 is: 2,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.64 : 4,866.57 = 1,954.64 : x
  2. Step 2: Convert to fraction form
    3,526.64/4,866.57 = 1,954.64/x
  3. Step 3: Cross multiply
    3,526.64x = 4,866.57 × 1,954.64
  4. Step 4: Simplify right side
    3,526.64x = 9,512,392.38
  5. Step 5: Solve for x
    x = 9,512,392.38/3,526.64
  6. Step 6: Final answer
    x = 2,697.30

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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.