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Finding the Fourth Proportional to 5,059.79, 6,982.71 and 4,219.09

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Solution

The fourth proportional to 5,059.79, 6,982.71 and 4,219.09 is: 5,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.79 : 6,982.71 = 4,219.09 : x
  2. Step 2: Convert to fraction form
    5,059.79/6,982.71 = 4,219.09/x
  3. Step 3: Cross multiply
    5,059.79x = 6,982.71 × 4,219.09
  4. Step 4: Simplify right side
    5,059.79x = 29,460,681.93
  5. Step 5: Solve for x
    x = 29,460,681.93/5,059.79
  6. Step 6: Final answer
    x = 5,822.51

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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.