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Finding the Fourth Proportional to 5,288.01, 7,926.43 and 1,774.68

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Solution

The fourth proportional to 5,288.01, 7,926.43 and 1,774.68 is: 2,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.01 : 7,926.43 = 1,774.68 : x
  2. Step 2: Convert to fraction form
    5,288.01/7,926.43 = 1,774.68/x
  3. Step 3: Cross multiply
    5,288.01x = 7,926.43 × 1,774.68
  4. Step 4: Simplify right side
    5,288.01x = 14,066,892.17
  5. Step 5: Solve for x
    x = 14,066,892.17/5,288.01
  6. Step 6: Final answer
    x = 2,660.15

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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.