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Finding the Fourth Proportional to 3,125.99, 4,689.56 and 1,566.07

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Solution

The fourth proportional to 3,125.99, 4,689.56 and 1,566.07 is: 2,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.99 : 4,689.56 = 1,566.07 : x
  2. Step 2: Convert to fraction form
    3,125.99/4,689.56 = 1,566.07/x
  3. Step 3: Cross multiply
    3,125.99x = 4,689.56 × 1,566.07
  4. Step 4: Simplify right side
    3,125.99x = 7,344,171.42
  5. Step 5: Solve for x
    x = 7,344,171.42/3,125.99
  6. Step 6: Final answer
    x = 2,349.39

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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.