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Finding the Fourth Proportional to 6,426.24, 8,870.08 and 3,738.07

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Solution

The fourth proportional to 6,426.24, 8,870.08 and 3,738.07 is: 5,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.24 : 8,870.08 = 3,738.07 : x
  2. Step 2: Convert to fraction form
    6,426.24/8,870.08 = 3,738.07/x
  3. Step 3: Cross multiply
    6,426.24x = 8,870.08 × 3,738.07
  4. Step 4: Simplify right side
    6,426.24x = 33,157,024.16
  5. Step 5: Solve for x
    x = 33,157,024.16/6,426.24
  6. Step 6: Final answer
    x = 5,159.63

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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.