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Finding the Fourth Proportional to 5,871.38, 8,075.49 and 4,801.46

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Solution

The fourth proportional to 5,871.38, 8,075.49 and 4,801.46 is: 6,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.38 : 8,075.49 = 4,801.46 : x
  2. Step 2: Convert to fraction form
    5,871.38/8,075.49 = 4,801.46/x
  3. Step 3: Cross multiply
    5,871.38x = 8,075.49 × 4,801.46
  4. Step 4: Simplify right side
    5,871.38x = 38,774,142.22
  5. Step 5: Solve for x
    x = 38,774,142.22/5,871.38
  6. Step 6: Final answer
    x = 6,603.92

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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.