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Finding the Fourth Proportional to 5,256.22, 7,868.58 and 5,069.29

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Solution

The fourth proportional to 5,256.22, 7,868.58 and 5,069.29 is: 7,588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.22 : 7,868.58 = 5,069.29 : x
  2. Step 2: Convert to fraction form
    5,256.22/7,868.58 = 5,069.29/x
  3. Step 3: Cross multiply
    5,256.22x = 7,868.58 × 5,069.29
  4. Step 4: Simplify right side
    5,256.22x = 39,888,112.11
  5. Step 5: Solve for x
    x = 39,888,112.11/5,256.22
  6. Step 6: Final answer
    x = 7,588.75

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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.