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Finding the Fourth Proportional to 3,705.77, 5,117.43 and 2,381.77

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Solution

The fourth proportional to 3,705.77, 5,117.43 and 2,381.77 is: 3,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.77 : 5,117.43 = 2,381.77 : x
  2. Step 2: Convert to fraction form
    3,705.77/5,117.43 = 2,381.77/x
  3. Step 3: Cross multiply
    3,705.77x = 5,117.43 × 2,381.77
  4. Step 4: Simplify right side
    3,705.77x = 12,188,543.18
  5. Step 5: Solve for x
    x = 12,188,543.18/3,705.77
  6. Step 6: Final answer
    x = 3,289.07

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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.