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Finding the Fourth Proportional to 4,075.38, 6,113.07 and 2,319.44

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Solution

The fourth proportional to 4,075.38, 6,113.07 and 2,319.44 is: 3,479.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.38 : 6,113.07 = 2,319.44 : x
  2. Step 2: Convert to fraction form
    4,075.38/6,113.07 = 2,319.44/x
  3. Step 3: Cross multiply
    4,075.38x = 6,113.07 × 2,319.44
  4. Step 4: Simplify right side
    4,075.38x = 14,178,868.52
  5. Step 5: Solve for x
    x = 14,178,868.52/4,075.38
  6. Step 6: Final answer
    x = 3,479.15

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