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Finding the Fourth Proportional to 3,540.59, 5,302.80 and 1,693.01

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Solution

The fourth proportional to 3,540.59, 5,302.80 and 1,693.01 is: 2,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.59 : 5,302.80 = 1,693.01 : x
  2. Step 2: Convert to fraction form
    3,540.59/5,302.80 = 1,693.01/x
  3. Step 3: Cross multiply
    3,540.59x = 5,302.80 × 1,693.01
  4. Step 4: Simplify right side
    3,540.59x = 8,977,666.91
  5. Step 5: Solve for x
    x = 8,977,666.91/3,540.59
  6. Step 6: Final answer
    x = 2,535.65

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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.