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Finding the Fourth Proportional to 3,117.56, 4,675.73 and 925.79

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Solution

The fourth proportional to 3,117.56, 4,675.73 and 925.79 is: 1,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.56 : 4,675.73 = 925.79 : x
  2. Step 2: Convert to fraction form
    3,117.56/4,675.73 = 925.79/x
  3. Step 3: Cross multiply
    3,117.56x = 4,675.73 × 925.79
  4. Step 4: Simplify right side
    3,117.56x = 4,328,716.07
  5. Step 5: Solve for x
    x = 4,328,716.07/3,117.56
  6. Step 6: Final answer
    x = 1,388.50

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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.