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Finding the Fourth Proportional to 4,075.92, 6,113.88 and 1,478.25

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Solution

The fourth proportional to 4,075.92, 6,113.88 and 1,478.25 is: 2,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.92 : 6,113.88 = 1,478.25 : x
  2. Step 2: Convert to fraction form
    4,075.92/6,113.88 = 1,478.25/x
  3. Step 3: Cross multiply
    4,075.92x = 6,113.88 × 1,478.25
  4. Step 4: Simplify right side
    4,075.92x = 9,037,843.11
  5. Step 5: Solve for x
    x = 9,037,843.11/4,075.92
  6. Step 6: Final answer
    x = 2,217.38

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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.