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Finding the Fourth Proportional to 3,740.86, 5,603.64 and 3,002.14

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Solution

The fourth proportional to 3,740.86, 5,603.64 and 3,002.14 is: 4,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.86 : 5,603.64 = 3,002.14 : x
  2. Step 2: Convert to fraction form
    3,740.86/5,603.64 = 3,002.14/x
  3. Step 3: Cross multiply
    3,740.86x = 5,603.64 × 3,002.14
  4. Step 4: Simplify right side
    3,740.86x = 16,822,911.79
  5. Step 5: Solve for x
    x = 16,822,911.79/3,740.86
  6. Step 6: Final answer
    x = 4,497.07

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Why These Related Problems?

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