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Finding the Fourth Proportional to 4,215.05, 5,809.01 and 3,378.52

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Solution

The fourth proportional to 4,215.05, 5,809.01 and 3,378.52 is: 4,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.05 : 5,809.01 = 3,378.52 : x
  2. Step 2: Convert to fraction form
    4,215.05/5,809.01 = 3,378.52/x
  3. Step 3: Cross multiply
    4,215.05x = 5,809.01 × 3,378.52
  4. Step 4: Simplify right side
    4,215.05x = 19,625,856.47
  5. Step 5: Solve for x
    x = 19,625,856.47/4,215.05
  6. Step 6: Final answer
    x = 4,656.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.