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Finding the Fourth Proportional to 4,307.07, 5,943.81 and 2,419.07

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Solution

The fourth proportional to 4,307.07, 5,943.81 and 2,419.07 is: 3,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.07 : 5,943.81 = 2,419.07 : x
  2. Step 2: Convert to fraction form
    4,307.07/5,943.81 = 2,419.07/x
  3. Step 3: Cross multiply
    4,307.07x = 5,943.81 × 2,419.07
  4. Step 4: Simplify right side
    4,307.07x = 14,378,462.74
  5. Step 5: Solve for x
    x = 14,378,462.74/4,307.07
  6. Step 6: Final answer
    x = 3,338.34

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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.