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Finding the Fourth Proportional to 5,566.40, 7,681.20 and 3,208.40

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Solution

The fourth proportional to 5,566.40, 7,681.20 and 3,208.40 is: 4,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.40 : 7,681.20 = 3,208.40 : x
  2. Step 2: Convert to fraction form
    5,566.40/7,681.20 = 3,208.40/x
  3. Step 3: Cross multiply
    5,566.40x = 7,681.20 × 3,208.40
  4. Step 4: Simplify right side
    5,566.40x = 24,644,362.08
  5. Step 5: Solve for x
    x = 24,644,362.08/5,566.40
  6. Step 6: Final answer
    x = 4,427.34

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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.