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Finding the Fourth Proportional to 3,477.02, 5,188.08 and 3,148.70

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Solution

The fourth proportional to 3,477.02, 5,188.08 and 3,148.70 is: 4,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.02 : 5,188.08 = 3,148.70 : x
  2. Step 2: Convert to fraction form
    3,477.02/5,188.08 = 3,148.70/x
  3. Step 3: Cross multiply
    3,477.02x = 5,188.08 × 3,148.70
  4. Step 4: Simplify right side
    3,477.02x = 16,335,691.75
  5. Step 5: Solve for x
    x = 16,335,691.75/3,477.02
  6. Step 6: Final answer
    x = 4,698.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.