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Finding the Fourth Proportional to 4,597.28, 6,895.84 and 1,134.48

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Solution

The fourth proportional to 4,597.28, 6,895.84 and 1,134.48 is: 1,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.28 : 6,895.84 = 1,134.48 : x
  2. Step 2: Convert to fraction form
    4,597.28/6,895.84 = 1,134.48/x
  3. Step 3: Cross multiply
    4,597.28x = 6,895.84 × 1,134.48
  4. Step 4: Simplify right side
    4,597.28x = 7,823,192.56
  5. Step 5: Solve for x
    x = 7,823,192.56/4,597.28
  6. Step 6: Final answer
    x = 1,701.70

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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.