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Finding the Fourth Proportional to 4,400.34, 6,075.27 and 3,077.34

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Solution

The fourth proportional to 4,400.34, 6,075.27 and 3,077.34 is: 4,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,400.34 : 6,075.27 = 3,077.34 : x
  2. Step 2: Convert to fraction form
    4,400.34/6,075.27 = 3,077.34/x
  3. Step 3: Cross multiply
    4,400.34x = 6,075.27 × 3,077.34
  4. Step 4: Simplify right side
    4,400.34x = 18,695,671.38
  5. Step 5: Solve for x
    x = 18,695,671.38/4,400.34
  6. Step 6: Final answer
    x = 4,248.69

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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.