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Finding the Fourth Proportional to 4,599.84, 6,346.32 and 2,920.80

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Solution

The fourth proportional to 4,599.84, 6,346.32 and 2,920.80 is: 4,029.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.84 : 6,346.32 = 2,920.80 : x
  2. Step 2: Convert to fraction form
    4,599.84/6,346.32 = 2,920.80/x
  3. Step 3: Cross multiply
    4,599.84x = 6,346.32 × 2,920.80
  4. Step 4: Simplify right side
    4,599.84x = 18,536,331.46
  5. Step 5: Solve for x
    x = 18,536,331.46/4,599.84
  6. Step 6: Final answer
    x = 4,029.78

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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.