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Finding the Fourth Proportional to 4,075.40, 5,626.86 and 3,013.40

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Solution

The fourth proportional to 4,075.40, 5,626.86 and 3,013.40 is: 4,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.40 : 5,626.86 = 3,013.40 : x
  2. Step 2: Convert to fraction form
    4,075.40/5,626.86 = 3,013.40/x
  3. Step 3: Cross multiply
    4,075.40x = 5,626.86 × 3,013.40
  4. Step 4: Simplify right side
    4,075.40x = 16,955,979.92
  5. Step 5: Solve for x
    x = 16,955,979.92/4,075.40
  6. Step 6: Final answer
    x = 4,160.57

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