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Finding the Fourth Proportional to 5,771.91, 8,657.52 and 1,612.16

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Solution

The fourth proportional to 5,771.91, 8,657.52 and 1,612.16 is: 2,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.91 : 8,657.52 = 1,612.16 : x
  2. Step 2: Convert to fraction form
    5,771.91/8,657.52 = 1,612.16/x
  3. Step 3: Cross multiply
    5,771.91x = 8,657.52 × 1,612.16
  4. Step 4: Simplify right side
    5,771.91x = 13,957,264.16
  5. Step 5: Solve for x
    x = 13,957,264.16/5,771.91
  6. Step 6: Final answer
    x = 2,418.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.