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Finding the Fourth Proportional to 5,263.23, 7,892.21 and 1,752.01

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Solution

The fourth proportional to 5,263.23, 7,892.21 and 1,752.01 is: 2,627.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.23 : 7,892.21 = 1,752.01 : x
  2. Step 2: Convert to fraction form
    5,263.23/7,892.21 = 1,752.01/x
  3. Step 3: Cross multiply
    5,263.23x = 7,892.21 × 1,752.01
  4. Step 4: Simplify right side
    5,263.23x = 13,827,215.49
  5. Step 5: Solve for x
    x = 13,827,215.49/5,263.23
  6. Step 6: Final answer
    x = 2,627.13

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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.