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Finding the Fourth Proportional to 6,587.48, 9,091.05 and 3,900.24

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Solution

The fourth proportional to 6,587.48, 9,091.05 and 3,900.24 is: 5,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.48 : 9,091.05 = 3,900.24 : x
  2. Step 2: Convert to fraction form
    6,587.48/9,091.05 = 3,900.24/x
  3. Step 3: Cross multiply
    6,587.48x = 9,091.05 × 3,900.24
  4. Step 4: Simplify right side
    6,587.48x = 35,457,231.40
  5. Step 5: Solve for x
    x = 35,457,231.40/6,587.48
  6. Step 6: Final answer
    x = 5,382.52

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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.