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Finding the Fourth Proportional to 5,868.71, 8,804.37 and 1,973

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Solution

The fourth proportional to 5,868.71, 8,804.37 and 1,973 is: 2,959.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.71 : 8,804.37 = 1,973 : x
  2. Step 2: Convert to fraction form
    5,868.71/8,804.37 = 1,973/x
  3. Step 3: Cross multiply
    5,868.71x = 8,804.37 × 1,973
  4. Step 4: Simplify right side
    5,868.71x = 17,371,022.01
  5. Step 5: Solve for x
    x = 17,371,022.01/5,868.71
  6. Step 6: Final answer
    x = 2,959.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.