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Finding the Fourth Proportional to 3,153.61, 4,347.43 and 2,206.47

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Solution

The fourth proportional to 3,153.61, 4,347.43 and 2,206.47 is: 3,041.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.61 : 4,347.43 = 2,206.47 : x
  2. Step 2: Convert to fraction form
    3,153.61/4,347.43 = 2,206.47/x
  3. Step 3: Cross multiply
    3,153.61x = 4,347.43 × 2,206.47
  4. Step 4: Simplify right side
    3,153.61x = 9,592,472.62
  5. Step 5: Solve for x
    x = 9,592,472.62/3,153.61
  6. Step 6: Final answer
    x = 3,041.74

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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.