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Finding the Fourth Proportional to 5,778.57, 7,975.05 and 3,541.95

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Solution

The fourth proportional to 5,778.57, 7,975.05 and 3,541.95 is: 4,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.57 : 7,975.05 = 3,541.95 : x
  2. Step 2: Convert to fraction form
    5,778.57/7,975.05 = 3,541.95/x
  3. Step 3: Cross multiply
    5,778.57x = 7,975.05 × 3,541.95
  4. Step 4: Simplify right side
    5,778.57x = 28,247,228.35
  5. Step 5: Solve for x
    x = 28,247,228.35/5,778.57
  6. Step 6: Final answer
    x = 4,888.27

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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.