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Finding the Fourth Proportional to 4,215.93, 5,823.14 and 2,894.01

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Solution

The fourth proportional to 4,215.93, 5,823.14 and 2,894.01 is: 3,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.93 : 5,823.14 = 2,894.01 : x
  2. Step 2: Convert to fraction form
    4,215.93/5,823.14 = 2,894.01/x
  3. Step 3: Cross multiply
    4,215.93x = 5,823.14 × 2,894.01
  4. Step 4: Simplify right side
    4,215.93x = 16,852,210.92
  5. Step 5: Solve for x
    x = 16,852,210.92/4,215.93
  6. Step 6: Final answer
    x = 3,997.27

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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.