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Finding the Fourth Proportional to 4,689.63, 6,471.77 and 2,700.41

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Solution

The fourth proportional to 4,689.63, 6,471.77 and 2,700.41 is: 3,726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,689.63 : 6,471.77 = 2,700.41 : x
  2. Step 2: Convert to fraction form
    4,689.63/6,471.77 = 2,700.41/x
  3. Step 3: Cross multiply
    4,689.63x = 6,471.77 × 2,700.41
  4. Step 4: Simplify right side
    4,689.63x = 17,476,386.56
  5. Step 5: Solve for x
    x = 17,476,386.56/4,689.63
  6. Step 6: Final answer
    x = 3,726.60

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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.