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Finding the Fourth Proportional to 5,041.71, 6,957.98 and 2,804.02

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Solution

The fourth proportional to 5,041.71, 6,957.98 and 2,804.02 is: 3,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,041.71 : 6,957.98 = 2,804.02 : x
  2. Step 2: Convert to fraction form
    5,041.71/6,957.98 = 2,804.02/x
  3. Step 3: Cross multiply
    5,041.71x = 6,957.98 × 2,804.02
  4. Step 4: Simplify right side
    5,041.71x = 19,510,309.95
  5. Step 5: Solve for x
    x = 19,510,309.95/5,041.71
  6. Step 6: Final answer
    x = 3,869.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.