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Finding the Fourth Proportional to 4,810.71, 6,642.54 and 3,689.87

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Solution

The fourth proportional to 4,810.71, 6,642.54 and 3,689.87 is: 5,094.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.71 : 6,642.54 = 3,689.87 : x
  2. Step 2: Convert to fraction form
    4,810.71/6,642.54 = 3,689.87/x
  3. Step 3: Cross multiply
    4,810.71x = 6,642.54 × 3,689.87
  4. Step 4: Simplify right side
    4,810.71x = 24,510,125.68
  5. Step 5: Solve for x
    x = 24,510,125.68/4,810.71
  6. Step 6: Final answer
    x = 5,094.91

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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.