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Finding the Fourth Proportional to 5,065.71, 7,599 and 1,778.52

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Solution

The fourth proportional to 5,065.71, 7,599 and 1,778.52 is: 2,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.71 : 7,599 = 1,778.52 : x
  2. Step 2: Convert to fraction form
    5,065.71/7,599 = 1,778.52/x
  3. Step 3: Cross multiply
    5,065.71x = 7,599 × 1,778.52
  4. Step 4: Simplify right side
    5,065.71x = 13,514,973.48
  5. Step 5: Solve for x
    x = 13,514,973.48/5,065.71
  6. Step 6: Final answer
    x = 2,667.93

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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.