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Finding the Fourth Proportional to 4,706.60, 7,057.04 and 2,754.68

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Solution

The fourth proportional to 4,706.60, 7,057.04 and 2,754.68 is: 4,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.60 : 7,057.04 = 2,754.68 : x
  2. Step 2: Convert to fraction form
    4,706.60/7,057.04 = 2,754.68/x
  3. Step 3: Cross multiply
    4,706.60x = 7,057.04 × 2,754.68
  4. Step 4: Simplify right side
    4,706.60x = 19,439,886.95
  5. Step 5: Solve for x
    x = 19,439,886.95/4,706.60
  6. Step 6: Final answer
    x = 4,130.35

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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.