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Finding the Fourth Proportional to 5,277.66, 7,900.05 and 3,524.10

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Solution

The fourth proportional to 5,277.66, 7,900.05 and 3,524.10 is: 5,275.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.66 : 7,900.05 = 3,524.10 : x
  2. Step 2: Convert to fraction form
    5,277.66/7,900.05 = 3,524.10/x
  3. Step 3: Cross multiply
    5,277.66x = 7,900.05 × 3,524.10
  4. Step 4: Simplify right side
    5,277.66x = 27,840,566.21
  5. Step 5: Solve for x
    x = 27,840,566.21/5,277.66
  6. Step 6: Final answer
    x = 5,275.17

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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.