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Finding the Fourth Proportional to 4,732.50, 7,097.16 and 1,611.72

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Solution

The fourth proportional to 4,732.50, 7,097.16 and 1,611.72 is: 2,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732.50 : 7,097.16 = 1,611.72 : x
  2. Step 2: Convert to fraction form
    4,732.50/7,097.16 = 1,611.72/x
  3. Step 3: Cross multiply
    4,732.50x = 7,097.16 × 1,611.72
  4. Step 4: Simplify right side
    4,732.50x = 11,438,634.72
  5. Step 5: Solve for x
    x = 11,438,634.72/4,732.50
  6. Step 6: Final answer
    x = 2,417.04

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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.