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Finding the Fourth Proportional to 4,875.76, 7,310.12 and 2,896.70

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Solution

The fourth proportional to 4,875.76, 7,310.12 and 2,896.70 is: 4,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,875.76 : 7,310.12 = 2,896.70 : x
  2. Step 2: Convert to fraction form
    4,875.76/7,310.12 = 2,896.70/x
  3. Step 3: Cross multiply
    4,875.76x = 7,310.12 × 2,896.70
  4. Step 4: Simplify right side
    4,875.76x = 21,175,173.57
  5. Step 5: Solve for x
    x = 21,175,173.57/4,875.76
  6. Step 6: Final answer
    x = 4,342.95

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1.5x scale

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.