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Finding the Fourth Proportional to 3,650.76, 5,038.49 and 2,159.96

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Solution

The fourth proportional to 3,650.76, 5,038.49 and 2,159.96 is: 2,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.76 : 5,038.49 = 2,159.96 : x
  2. Step 2: Convert to fraction form
    3,650.76/5,038.49 = 2,159.96/x
  3. Step 3: Cross multiply
    3,650.76x = 5,038.49 × 2,159.96
  4. Step 4: Simplify right side
    3,650.76x = 10,882,900.87
  5. Step 5: Solve for x
    x = 10,882,900.87/3,650.76
  6. Step 6: Final answer
    x = 2,981.00

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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.