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Finding the Fourth Proportional to 4,706.46, 7,053.45 and 2,511.90

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Solution

The fourth proportional to 4,706.46, 7,053.45 and 2,511.90 is: 3,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.46 : 7,053.45 = 2,511.90 : x
  2. Step 2: Convert to fraction form
    4,706.46/7,053.45 = 2,511.90/x
  3. Step 3: Cross multiply
    4,706.46x = 7,053.45 × 2,511.90
  4. Step 4: Simplify right side
    4,706.46x = 17,717,561.06
  5. Step 5: Solve for x
    x = 17,717,561.06/4,706.46
  6. Step 6: Final answer
    x = 3,764.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.