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Finding the Fourth Proportional to 4,205.71, 6,301.45 and 2,970.91

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Solution

The fourth proportional to 4,205.71, 6,301.45 and 2,970.91 is: 4,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.71 : 6,301.45 = 2,970.91 : x
  2. Step 2: Convert to fraction form
    4,205.71/6,301.45 = 2,970.91/x
  3. Step 3: Cross multiply
    4,205.71x = 6,301.45 × 2,970.91
  4. Step 4: Simplify right side
    4,205.71x = 18,721,040.82
  5. Step 5: Solve for x
    x = 18,721,040.82/4,205.71
  6. Step 6: Final answer
    x = 4,451.34

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