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Finding the Fourth Proportional to 4,507.54, 6,218.46 and 2,827.80

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Solution

The fourth proportional to 4,507.54, 6,218.46 and 2,827.80 is: 3,901.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.54 : 6,218.46 = 2,827.80 : x
  2. Step 2: Convert to fraction form
    4,507.54/6,218.46 = 2,827.80/x
  3. Step 3: Cross multiply
    4,507.54x = 6,218.46 × 2,827.80
  4. Step 4: Simplify right side
    4,507.54x = 17,584,561.19
  5. Step 5: Solve for x
    x = 17,584,561.19/4,507.54
  6. Step 6: Final answer
    x = 3,901.15

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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.