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Finding the Fourth Proportional to 4,648.14, 6,957.05 and 3,415.23

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Solution

The fourth proportional to 4,648.14, 6,957.05 and 3,415.23 is: 5,111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.14 : 6,957.05 = 3,415.23 : x
  2. Step 2: Convert to fraction form
    4,648.14/6,957.05 = 3,415.23/x
  3. Step 3: Cross multiply
    4,648.14x = 6,957.05 × 3,415.23
  4. Step 4: Simplify right side
    4,648.14x = 23,759,908.80
  5. Step 5: Solve for x
    x = 23,759,908.80/4,648.14
  6. Step 6: Final answer
    x = 5,111.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.