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Finding the Fourth Proportional to 5,628.54, 7,741.72 and 4,612.95

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Solution

The fourth proportional to 5,628.54, 7,741.72 and 4,612.95 is: 6,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.54 : 7,741.72 = 4,612.95 : x
  2. Step 2: Convert to fraction form
    5,628.54/7,741.72 = 4,612.95/x
  3. Step 3: Cross multiply
    5,628.54x = 7,741.72 × 4,612.95
  4. Step 4: Simplify right side
    5,628.54x = 35,712,167.27
  5. Step 5: Solve for x
    x = 35,712,167.27/5,628.54
  6. Step 6: Final answer
    x = 6,344.84

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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.