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Finding the Fourth Proportional to 4,310.16, 6,466.16 and 1,388.70

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Solution

The fourth proportional to 4,310.16, 6,466.16 and 1,388.70 is: 2,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.16 : 6,466.16 = 1,388.70 : x
  2. Step 2: Convert to fraction form
    4,310.16/6,466.16 = 1,388.70/x
  3. Step 3: Cross multiply
    4,310.16x = 6,466.16 × 1,388.70
  4. Step 4: Simplify right side
    4,310.16x = 8,979,549.45
  5. Step 5: Solve for x
    x = 8,979,549.45/4,310.16
  6. Step 6: Final answer
    x = 2,083.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.