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Finding the Fourth Proportional to 5,384.84, 8,075.70 and 2,097.20

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Solution

The fourth proportional to 5,384.84, 8,075.70 and 2,097.20 is: 3,145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.84 : 8,075.70 = 2,097.20 : x
  2. Step 2: Convert to fraction form
    5,384.84/8,075.70 = 2,097.20/x
  3. Step 3: Cross multiply
    5,384.84x = 8,075.70 × 2,097.20
  4. Step 4: Simplify right side
    5,384.84x = 16,936,358.04
  5. Step 5: Solve for x
    x = 16,936,358.04/5,384.84
  6. Step 6: Final answer
    x = 3,145.19

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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.