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Finding the Fourth Proportional to 3,699.02, 5,549.64 and 1,562.90

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Solution

The fourth proportional to 3,699.02, 5,549.64 and 1,562.90 is: 2,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.02 : 5,549.64 = 1,562.90 : x
  2. Step 2: Convert to fraction form
    3,699.02/5,549.64 = 1,562.90/x
  3. Step 3: Cross multiply
    3,699.02x = 5,549.64 × 1,562.90
  4. Step 4: Simplify right side
    3,699.02x = 8,673,503.14
  5. Step 5: Solve for x
    x = 8,673,503.14/3,699.02
  6. Step 6: Final answer
    x = 2,344.81

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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.