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Finding the Fourth Proportional to 4,689.50, 6,444.45 and 4,472.68

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Solution

The fourth proportional to 4,689.50, 6,444.45 and 4,472.68 is: 6,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.50 : 6,444.45 = 4,472.68 : x
  2. Step 2: Convert to fraction form
    4,689.50/6,444.45 = 4,472.68/x
  3. Step 3: Cross multiply
    4,689.50x = 6,444.45 × 4,472.68
  4. Step 4: Simplify right side
    4,689.50x = 28,823,908.04
  5. Step 5: Solve for x
    x = 28,823,908.04/4,689.50
  6. Step 6: Final answer
    x = 6,146.48

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.