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Finding the Fourth Proportional to 4,497.62, 6,740.94 and 2,029.95

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Solution

The fourth proportional to 4,497.62, 6,740.94 and 2,029.95 is: 3,042.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.62 : 6,740.94 = 2,029.95 : x
  2. Step 2: Convert to fraction form
    4,497.62/6,740.94 = 2,029.95/x
  3. Step 3: Cross multiply
    4,497.62x = 6,740.94 × 2,029.95
  4. Step 4: Simplify right side
    4,497.62x = 13,683,771.15
  5. Step 5: Solve for x
    x = 13,683,771.15/4,497.62
  6. Step 6: Final answer
    x = 3,042.45

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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.