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Finding the Fourth Proportional to 5,224.86, 7,210.31 and 2,867.00

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Solution

The fourth proportional to 5,224.86, 7,210.31 and 2,867.00 is: 3,956.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.86 : 7,210.31 = 2,867.00 : x
  2. Step 2: Convert to fraction form
    5,224.86/7,210.31 = 2,867.00/x
  3. Step 3: Cross multiply
    5,224.86x = 7,210.31 × 2,867.00
  4. Step 4: Simplify right side
    5,224.86x = 20,671,908.38
  5. Step 5: Solve for x
    x = 20,671,908.38/5,224.86
  6. Step 6: Final answer
    x = 3,956.45

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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.