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Finding the Fourth Proportional to 5,665.41, 7,816.08 and 4,176.86

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Solution

The fourth proportional to 5,665.41, 7,816.08 and 4,176.86 is: 5,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.41 : 7,816.08 = 4,176.86 : x
  2. Step 2: Convert to fraction form
    5,665.41/7,816.08 = 4,176.86/x
  3. Step 3: Cross multiply
    5,665.41x = 7,816.08 × 4,176.86
  4. Step 4: Simplify right side
    5,665.41x = 32,646,651.02
  5. Step 5: Solve for x
    x = 32,646,651.02/5,665.41
  6. Step 6: Final answer
    x = 5,762.46

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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.