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Finding the Fourth Proportional to 5,766.16, 7,959.72 and 3,904.24

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Solution

The fourth proportional to 5,766.16, 7,959.72 and 3,904.24 is: 5,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.16 : 7,959.72 = 3,904.24 : x
  2. Step 2: Convert to fraction form
    5,766.16/7,959.72 = 3,904.24/x
  3. Step 3: Cross multiply
    5,766.16x = 7,959.72 × 3,904.24
  4. Step 4: Simplify right side
    5,766.16x = 31,076,657.21
  5. Step 5: Solve for x
    x = 31,076,657.21/5,766.16
  6. Step 6: Final answer
    x = 5,389.49

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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.