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Finding the Fourth Proportional to 3,526.64, 4,867.05 and 1,954.70

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Solution

The fourth proportional to 3,526.64, 4,867.05 and 1,954.70 is: 2,697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.64 : 4,867.05 = 1,954.70 : x
  2. Step 2: Convert to fraction form
    3,526.64/4,867.05 = 1,954.70/x
  3. Step 3: Cross multiply
    3,526.64x = 4,867.05 × 1,954.70
  4. Step 4: Simplify right side
    3,526.64x = 9,513,622.64
  5. Step 5: Solve for x
    x = 9,513,622.64/3,526.64
  6. Step 6: Final answer
    x = 2,697.64

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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.