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Finding the Fourth Proportional to 4,269.60, 6,404.40 and 3,434.40

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Solution

The fourth proportional to 4,269.60, 6,404.40 and 3,434.40 is: 5,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.60 : 6,404.40 = 3,434.40 : x
  2. Step 2: Convert to fraction form
    4,269.60/6,404.40 = 3,434.40/x
  3. Step 3: Cross multiply
    4,269.60x = 6,404.40 × 3,434.40
  4. Step 4: Simplify right side
    4,269.60x = 21,995,271.36
  5. Step 5: Solve for x
    x = 21,995,271.36/4,269.60
  6. Step 6: Final answer
    x = 5,151.60

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