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Finding the Fourth Proportional to 5,633.36, 8,436.42 and 5,485.74

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Solution

The fourth proportional to 5,633.36, 8,436.42 and 5,485.74 is: 8,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,633.36 : 8,436.42 = 5,485.74 : x
  2. Step 2: Convert to fraction form
    5,633.36/8,436.42 = 5,485.74/x
  3. Step 3: Cross multiply
    5,633.36x = 8,436.42 × 5,485.74
  4. Step 4: Simplify right side
    5,633.36x = 46,280,006.65
  5. Step 5: Solve for x
    x = 46,280,006.65/5,633.36
  6. Step 6: Final answer
    x = 8,215.35

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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.