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Finding the Fourth Proportional to 6,407.58, 9,610.17 and 2,943.98

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Solution

The fourth proportional to 6,407.58, 9,610.17 and 2,943.98 is: 4,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.58 : 9,610.17 = 2,943.98 : x
  2. Step 2: Convert to fraction form
    6,407.58/9,610.17 = 2,943.98/x
  3. Step 3: Cross multiply
    6,407.58x = 9,610.17 × 2,943.98
  4. Step 4: Simplify right side
    6,407.58x = 28,292,148.28
  5. Step 5: Solve for x
    x = 28,292,148.28/6,407.58
  6. Step 6: Final answer
    x = 4,415.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.