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Finding the Fourth Proportional to 4,670.40, 6,972.48 and 4,152

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Solution

The fourth proportional to 4,670.40, 6,972.48 and 4,152 is: 6,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.40 : 6,972.48 = 4,152 : x
  2. Step 2: Convert to fraction form
    4,670.40/6,972.48 = 4,152/x
  3. Step 3: Cross multiply
    4,670.40x = 6,972.48 × 4,152
  4. Step 4: Simplify right side
    4,670.40x = 28,949,736.96
  5. Step 5: Solve for x
    x = 28,949,736.96/4,670.40
  6. Step 6: Final answer
    x = 6,198.56

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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.