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Finding the Fourth Proportional to 6,293.16, 8,685.64 and 3,642.20

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Solution

The fourth proportional to 6,293.16, 8,685.64 and 3,642.20 is: 5,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.16 : 8,685.64 = 3,642.20 : x
  2. Step 2: Convert to fraction form
    6,293.16/8,685.64 = 3,642.20/x
  3. Step 3: Cross multiply
    6,293.16x = 8,685.64 × 3,642.20
  4. Step 4: Simplify right side
    6,293.16x = 31,634,838.01
  5. Step 5: Solve for x
    x = 31,634,838.01/6,293.16
  6. Step 6: Final answer
    x = 5,026.86

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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.