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Finding the Fourth Proportional to 4,461.12, 6,644.16 and 4,409.28

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Solution

The fourth proportional to 4,461.12, 6,644.16 and 4,409.28 is: 6,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.12 : 6,644.16 = 4,409.28 : x
  2. Step 2: Convert to fraction form
    4,461.12/6,644.16 = 4,409.28/x
  3. Step 3: Cross multiply
    4,461.12x = 6,644.16 × 4,409.28
  4. Step 4: Simplify right side
    4,461.12x = 29,295,961.80
  5. Step 5: Solve for x
    x = 29,295,961.80/4,461.12
  6. Step 6: Final answer
    x = 6,566.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.