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Finding the Fourth Proportional to 3,378.53, 5,070.23 and 1,189.10

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Solution

The fourth proportional to 3,378.53, 5,070.23 and 1,189.10 is: 1,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.53 : 5,070.23 = 1,189.10 : x
  2. Step 2: Convert to fraction form
    3,378.53/5,070.23 = 1,189.10/x
  3. Step 3: Cross multiply
    3,378.53x = 5,070.23 × 1,189.10
  4. Step 4: Simplify right side
    3,378.53x = 6,028,979.20
  5. Step 5: Solve for x
    x = 6,028,979.20/3,378.53
  6. Step 6: Final answer
    x = 1,784.50

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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.