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Finding the Fourth Proportional to 3,536.76, 5,301.68 and 1,977.52

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Solution

The fourth proportional to 3,536.76, 5,301.68 and 1,977.52 is: 2,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.76 : 5,301.68 = 1,977.52 : x
  2. Step 2: Convert to fraction form
    3,536.76/5,301.68 = 1,977.52/x
  3. Step 3: Cross multiply
    3,536.76x = 5,301.68 × 1,977.52
  4. Step 4: Simplify right side
    3,536.76x = 10,484,178.23
  5. Step 5: Solve for x
    x = 10,484,178.23/3,536.76
  6. Step 6: Final answer
    x = 2,964.35

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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.