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Finding the Fourth Proportional to 5,838.34, 8,051.29 and 3,928.47

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Solution

The fourth proportional to 5,838.34, 8,051.29 and 3,928.47 is: 5,417.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.34 : 8,051.29 = 3,928.47 : x
  2. Step 2: Convert to fraction form
    5,838.34/8,051.29 = 3,928.47/x
  3. Step 3: Cross multiply
    5,838.34x = 8,051.29 × 3,928.47
  4. Step 4: Simplify right side
    5,838.34x = 31,629,251.23
  5. Step 5: Solve for x
    x = 31,629,251.23/5,838.34
  6. Step 6: Final answer
    x = 5,417.51

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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.