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Finding the Fourth Proportional to 5,261.00, 7,892.64 and 1,752.08

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Solution

The fourth proportional to 5,261.00, 7,892.64 and 1,752.08 is: 2,628.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.00 : 7,892.64 = 1,752.08 : x
  2. Step 2: Convert to fraction form
    5,261.00/7,892.64 = 1,752.08/x
  3. Step 3: Cross multiply
    5,261.00x = 7,892.64 × 1,752.08
  4. Step 4: Simplify right side
    5,261.00x = 13,828,497.23
  5. Step 5: Solve for x
    x = 13,828,497.23/5,261.00
  6. Step 6: Final answer
    x = 2,628.49

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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.