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Finding the Fourth Proportional to 3,740.64, 5,610.90 and 967.08

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Solution

The fourth proportional to 3,740.64, 5,610.90 and 967.08 is: 1,450.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.64 : 5,610.90 = 967.08 : x
  2. Step 2: Convert to fraction form
    3,740.64/5,610.90 = 967.08/x
  3. Step 3: Cross multiply
    3,740.64x = 5,610.90 × 967.08
  4. Step 4: Simplify right side
    3,740.64x = 5,426,189.17
  5. Step 5: Solve for x
    x = 5,426,189.17/3,740.64
  6. Step 6: Final answer
    x = 1,450.60

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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.