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Finding the Fourth Proportional to 5,642.26, 8,463.35 and 4,410.70

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Solution

The fourth proportional to 5,642.26, 8,463.35 and 4,410.70 is: 6,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.26 : 8,463.35 = 4,410.70 : x
  2. Step 2: Convert to fraction form
    5,642.26/8,463.35 = 4,410.70/x
  3. Step 3: Cross multiply
    5,642.26x = 8,463.35 × 4,410.70
  4. Step 4: Simplify right side
    5,642.26x = 37,329,316.71
  5. Step 5: Solve for x
    x = 37,329,316.71/5,642.26
  6. Step 6: Final answer
    x = 6,616.03

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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.