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Finding the Fourth Proportional to 6,580.90, 9,077.19 and 4,225.90

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Solution

The fourth proportional to 6,580.90, 9,077.19 and 4,225.90 is: 5,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.90 : 9,077.19 = 4,225.90 : x
  2. Step 2: Convert to fraction form
    6,580.90/9,077.19 = 4,225.90/x
  3. Step 3: Cross multiply
    6,580.90x = 9,077.19 × 4,225.90
  4. Step 4: Simplify right side
    6,580.90x = 38,359,297.22
  5. Step 5: Solve for x
    x = 38,359,297.22/6,580.90
  6. Step 6: Final answer
    x = 5,828.88

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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.