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Finding the Fourth Proportional to 6,578.46, 9,077.40 and 4,223.79

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Solution

The fourth proportional to 6,578.46, 9,077.40 and 4,223.79 is: 5,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.46 : 9,077.40 = 4,223.79 : x
  2. Step 2: Convert to fraction form
    6,578.46/9,077.40 = 4,223.79/x
  3. Step 3: Cross multiply
    6,578.46x = 9,077.40 × 4,223.79
  4. Step 4: Simplify right side
    6,578.46x = 38,341,031.35
  5. Step 5: Solve for x
    x = 38,341,031.35/6,578.46
  6. Step 6: Final answer
    x = 5,828.27

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