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Finding the Fourth Proportional to 4,307.96, 5,944.50 and 2,419.16

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Solution

The fourth proportional to 4,307.96, 5,944.50 and 2,419.16 is: 3,338.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.96 : 5,944.50 = 2,419.16 : x
  2. Step 2: Convert to fraction form
    4,307.96/5,944.50 = 2,419.16/x
  3. Step 3: Cross multiply
    4,307.96x = 5,944.50 × 2,419.16
  4. Step 4: Simplify right side
    4,307.96x = 14,380,696.62
  5. Step 5: Solve for x
    x = 14,380,696.62/4,307.96
  6. Step 6: Final answer
    x = 3,338.17

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Double scale
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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.