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Finding the Fourth Proportional to 5,566.36, 7,681.62 and 3,470.50

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Solution

The fourth proportional to 5,566.36, 7,681.62 and 3,470.50 is: 4,789.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.36 : 7,681.62 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    5,566.36/7,681.62 = 3,470.50/x
  3. Step 3: Cross multiply
    5,566.36x = 7,681.62 × 3,470.50
  4. Step 4: Simplify right side
    5,566.36x = 26,659,062.21
  5. Step 5: Solve for x
    x = 26,659,062.21/5,566.36
  6. Step 6: Final answer
    x = 4,789.32

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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.