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Finding the Fourth Proportional to 4,706.60, 7,062.78 and 1,934.60

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Solution

The fourth proportional to 4,706.60, 7,062.78 and 1,934.60 is: 2,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.60 : 7,062.78 = 1,934.60 : x
  2. Step 2: Convert to fraction form
    4,706.60/7,062.78 = 1,934.60/x
  3. Step 3: Cross multiply
    4,706.60x = 7,062.78 × 1,934.60
  4. Step 4: Simplify right side
    4,706.60x = 13,663,654.19
  5. Step 5: Solve for x
    x = 13,663,654.19/4,706.60
  6. Step 6: Final answer
    x = 2,903.08

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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.