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Finding the Fourth Proportional to 4,643.46, 6,408.14 and 3,320.33

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Solution

The fourth proportional to 4,643.46, 6,408.14 and 3,320.33 is: 4,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.46 : 6,408.14 = 3,320.33 : x
  2. Step 2: Convert to fraction form
    4,643.46/6,408.14 = 3,320.33/x
  3. Step 3: Cross multiply
    4,643.46x = 6,408.14 × 3,320.33
  4. Step 4: Simplify right side
    4,643.46x = 21,277,139.49
  5. Step 5: Solve for x
    x = 21,277,139.49/4,643.46
  6. Step 6: Final answer
    x = 4,582.17

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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.