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Finding the Fourth Proportional to 3,740.87, 5,607.91 and 2,350

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Solution

The fourth proportional to 3,740.87, 5,607.91 and 2,350 is: 3,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.87 : 5,607.91 = 2,350 : x
  2. Step 2: Convert to fraction form
    3,740.87/5,607.91 = 2,350/x
  3. Step 3: Cross multiply
    3,740.87x = 5,607.91 × 2,350
  4. Step 4: Simplify right side
    3,740.87x = 13,178,588.50
  5. Step 5: Solve for x
    x = 13,178,588.50/3,740.87
  6. Step 6: Final answer
    x = 3,522.87

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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.