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Finding the Fourth Proportional to 4,307.82, 5,945.13 and 2,419.53

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Solution

The fourth proportional to 4,307.82, 5,945.13 and 2,419.53 is: 3,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.82 : 5,945.13 = 2,419.53 : x
  2. Step 2: Convert to fraction form
    4,307.82/5,945.13 = 2,419.53/x
  3. Step 3: Cross multiply
    4,307.82x = 5,945.13 × 2,419.53
  4. Step 4: Simplify right side
    4,307.82x = 14,384,420.39
  5. Step 5: Solve for x
    x = 14,384,420.39/4,307.82
  6. Step 6: Final answer
    x = 3,339.14

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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.