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Finding the Fourth Proportional to 3,534.76, 5,300.88 and 1,344.08

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Solution

The fourth proportional to 3,534.76, 5,300.88 and 1,344.08 is: 2,015.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.76 : 5,300.88 = 1,344.08 : x
  2. Step 2: Convert to fraction form
    3,534.76/5,300.88 = 1,344.08/x
  3. Step 3: Cross multiply
    3,534.76x = 5,300.88 × 1,344.08
  4. Step 4: Simplify right side
    3,534.76x = 7,124,806.79
  5. Step 5: Solve for x
    x = 7,124,806.79/3,534.76
  6. Step 6: Final answer
    x = 2,015.64

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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.