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Finding the Fourth Proportional to 5,668.79, 7,830.41 and 4,727.66

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Solution

The fourth proportional to 5,668.79, 7,830.41 and 4,727.66 is: 6,530.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.79 : 7,830.41 = 4,727.66 : x
  2. Step 2: Convert to fraction form
    5,668.79/7,830.41 = 4,727.66/x
  3. Step 3: Cross multiply
    5,668.79x = 7,830.41 × 4,727.66
  4. Step 4: Simplify right side
    5,668.79x = 37,019,453.35
  5. Step 5: Solve for x
    x = 37,019,453.35/5,668.79
  6. Step 6: Final answer
    x = 6,530.40

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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.