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Finding the Fourth Proportional to 5,259.02, 7,892.61 and 1,975.10

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Solution

The fourth proportional to 5,259.02, 7,892.61 and 1,975.10 is: 2,964.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.02 : 7,892.61 = 1,975.10 : x
  2. Step 2: Convert to fraction form
    5,259.02/7,892.61 = 1,975.10/x
  3. Step 3: Cross multiply
    5,259.02x = 7,892.61 × 1,975.10
  4. Step 4: Simplify right side
    5,259.02x = 15,588,694.01
  5. Step 5: Solve for x
    x = 15,588,694.01/5,259.02
  6. Step 6: Final answer
    x = 2,964.18

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Why These Related Problems?

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