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Finding the Fourth Proportional to 5,059.76, 6,971.64 and 3,400.88

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Solution

The fourth proportional to 5,059.76, 6,971.64 and 3,400.88 is: 4,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.76 : 6,971.64 = 3,400.88 : x
  2. Step 2: Convert to fraction form
    5,059.76/6,971.64 = 3,400.88/x
  3. Step 3: Cross multiply
    5,059.76x = 6,971.64 × 3,400.88
  4. Step 4: Simplify right side
    5,059.76x = 23,709,711.04
  5. Step 5: Solve for x
    x = 23,709,711.04/5,059.76
  6. Step 6: Final answer
    x = 4,685.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.