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Finding the Fourth Proportional to 4,706.90, 7,059.18 and 1,934.34

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Solution

The fourth proportional to 4,706.90, 7,059.18 and 1,934.34 is: 2,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.90 : 7,059.18 = 1,934.34 : x
  2. Step 2: Convert to fraction form
    4,706.90/7,059.18 = 1,934.34/x
  3. Step 3: Cross multiply
    4,706.90x = 7,059.18 × 1,934.34
  4. Step 4: Simplify right side
    4,706.90x = 13,654,854.24
  5. Step 5: Solve for x
    x = 13,654,854.24/4,706.90
  6. Step 6: Final answer
    x = 2,901.03

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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.