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Finding the Fourth Proportional to 5,858.76, 8,782.01 and 2,569.08

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Solution

The fourth proportional to 5,858.76, 8,782.01 and 2,569.08 is: 3,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.76 : 8,782.01 = 2,569.08 : x
  2. Step 2: Convert to fraction form
    5,858.76/8,782.01 = 2,569.08/x
  3. Step 3: Cross multiply
    5,858.76x = 8,782.01 × 2,569.08
  4. Step 4: Simplify right side
    5,858.76x = 22,561,686.25
  5. Step 5: Solve for x
    x = 22,561,686.25/5,858.76
  6. Step 6: Final answer
    x = 3,850.93

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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.