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Finding the Fourth Proportional to 5,159.14, 7,736.11 and 2,526.84

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Solution

The fourth proportional to 5,159.14, 7,736.11 and 2,526.84 is: 3,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.14 : 7,736.11 = 2,526.84 : x
  2. Step 2: Convert to fraction form
    5,159.14/7,736.11 = 2,526.84/x
  3. Step 3: Cross multiply
    5,159.14x = 7,736.11 × 2,526.84
  4. Step 4: Simplify right side
    5,159.14x = 19,547,905.88
  5. Step 5: Solve for x
    x = 19,547,905.88/5,159.14
  6. Step 6: Final answer
    x = 3,788.99

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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.