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Finding the Fourth Proportional to 5,721.14, 7,894.99 and 3,364.85

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Solution

The fourth proportional to 5,721.14, 7,894.99 and 3,364.85 is: 4,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.14 : 7,894.99 = 3,364.85 : x
  2. Step 2: Convert to fraction form
    5,721.14/7,894.99 = 3,364.85/x
  3. Step 3: Cross multiply
    5,721.14x = 7,894.99 × 3,364.85
  4. Step 4: Simplify right side
    5,721.14x = 26,565,457.10
  5. Step 5: Solve for x
    x = 26,565,457.10/5,721.14
  6. Step 6: Final answer
    x = 4,643.39

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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.