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Finding the Fourth Proportional to 7,238.50, 10,854.28 and 3,536.40

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Solution

The fourth proportional to 7,238.50, 10,854.28 and 3,536.40 is: 5,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.50 : 10,854.28 = 3,536.40 : x
  2. Step 2: Convert to fraction form
    7,238.50/10,854.28 = 3,536.40/x
  3. Step 3: Cross multiply
    7,238.50x = 10,854.28 × 3,536.40
  4. Step 4: Simplify right side
    7,238.50x = 38,385,075.79
  5. Step 5: Solve for x
    x = 38,385,075.79/7,238.50
  6. Step 6: Final answer
    x = 5,302.90

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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.