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Finding the Fourth Proportional to 6,352.48, 8,741.80 and 5,860

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Solution

The fourth proportional to 6,352.48, 8,741.80 and 5,860 is: 8,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.48 : 8,741.80 = 5,860 : x
  2. Step 2: Convert to fraction form
    6,352.48/8,741.80 = 5,860/x
  3. Step 3: Cross multiply
    6,352.48x = 8,741.80 × 5,860
  4. Step 4: Simplify right side
    6,352.48x = 51,226,948.00
  5. Step 5: Solve for x
    x = 51,226,948.00/6,352.48
  6. Step 6: Final answer
    x = 8,064.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.