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Finding the Fourth Proportional to 3,390.50, 4,677 and 2,328.32

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Solution

The fourth proportional to 3,390.50, 4,677 and 2,328.32 is: 3,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.50 : 4,677 = 2,328.32 : x
  2. Step 2: Convert to fraction form
    3,390.50/4,677 = 2,328.32/x
  3. Step 3: Cross multiply
    3,390.50x = 4,677 × 2,328.32
  4. Step 4: Simplify right side
    3,390.50x = 10,889,552.64
  5. Step 5: Solve for x
    x = 10,889,552.64/3,390.50
  6. Step 6: Final answer
    x = 3,211.78

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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.