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Finding the Fourth Proportional to 5,162.01, 7,744.14 and 1,875

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Solution

The fourth proportional to 5,162.01, 7,744.14 and 1,875 is: 2,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.01 : 7,744.14 = 1,875 : x
  2. Step 2: Convert to fraction form
    5,162.01/7,744.14 = 1,875/x
  3. Step 3: Cross multiply
    5,162.01x = 7,744.14 × 1,875
  4. Step 4: Simplify right side
    5,162.01x = 14,520,262.50
  5. Step 5: Solve for x
    x = 14,520,262.50/5,162.01
  6. Step 6: Final answer
    x = 2,812.91

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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.