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Finding the Fourth Proportional to 3,716.69, 5,574.11 and 1,526.03

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Solution

The fourth proportional to 3,716.69, 5,574.11 and 1,526.03 is: 2,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.69 : 5,574.11 = 1,526.03 : x
  2. Step 2: Convert to fraction form
    3,716.69/5,574.11 = 1,526.03/x
  3. Step 3: Cross multiply
    3,716.69x = 5,574.11 × 1,526.03
  4. Step 4: Simplify right side
    3,716.69x = 8,506,251.45
  5. Step 5: Solve for x
    x = 8,506,251.45/3,716.69
  6. Step 6: Final answer
    x = 2,288.66

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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.