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Finding the Fourth Proportional to 5,850.24, 8,776.80 and 1,746.24

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Solution

The fourth proportional to 5,850.24, 8,776.80 and 1,746.24 is: 2,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.24 : 8,776.80 = 1,746.24 : x
  2. Step 2: Convert to fraction form
    5,850.24/8,776.80 = 1,746.24/x
  3. Step 3: Cross multiply
    5,850.24x = 8,776.80 × 1,746.24
  4. Step 4: Simplify right side
    5,850.24x = 15,326,399.23
  5. Step 5: Solve for x
    x = 15,326,399.23/5,850.24
  6. Step 6: Final answer
    x = 2,619.79

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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.