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Finding the Fourth Proportional to 4,784.70, 7,175.82 and 1,497.72

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Solution

The fourth proportional to 4,784.70, 7,175.82 and 1,497.72 is: 2,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.70 : 7,175.82 = 1,497.72 : x
  2. Step 2: Convert to fraction form
    4,784.70/7,175.82 = 1,497.72/x
  3. Step 3: Cross multiply
    4,784.70x = 7,175.82 × 1,497.72
  4. Step 4: Simplify right side
    4,784.70x = 10,747,369.13
  5. Step 5: Solve for x
    x = 10,747,369.13/4,784.70
  6. Step 6: Final answer
    x = 2,246.19

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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.