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Finding the Fourth Proportional to 6,148.76, 8,485.28 and 3,496.16

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Solution

The fourth proportional to 6,148.76, 8,485.28 and 3,496.16 is: 4,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.76 : 8,485.28 = 3,496.16 : x
  2. Step 2: Convert to fraction form
    6,148.76/8,485.28 = 3,496.16/x
  3. Step 3: Cross multiply
    6,148.76x = 8,485.28 × 3,496.16
  4. Step 4: Simplify right side
    6,148.76x = 29,665,896.52
  5. Step 5: Solve for x
    x = 29,665,896.52/6,148.76
  6. Step 6: Final answer
    x = 4,824.70

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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.