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Finding the Fourth Proportional to 4,415.85, 6,647.62 and 4,034.49

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Solution

The fourth proportional to 4,415.85, 6,647.62 and 4,034.49 is: 6,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.85 : 6,647.62 = 4,034.49 : x
  2. Step 2: Convert to fraction form
    4,415.85/6,647.62 = 4,034.49/x
  3. Step 3: Cross multiply
    4,415.85x = 6,647.62 × 4,034.49
  4. Step 4: Simplify right side
    4,415.85x = 26,819,756.41
  5. Step 5: Solve for x
    x = 26,819,756.41/4,415.85
  6. Step 6: Final answer
    x = 6,073.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.