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Finding the Fourth Proportional to 5,623.65, 8,424.95 and 4,705.11

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Solution

The fourth proportional to 5,623.65, 8,424.95 and 4,705.11 is: 7,048.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,623.65 : 8,424.95 = 4,705.11 : x
  2. Step 2: Convert to fraction form
    5,623.65/8,424.95 = 4,705.11/x
  3. Step 3: Cross multiply
    5,623.65x = 8,424.95 × 4,705.11
  4. Step 4: Simplify right side
    5,623.65x = 39,640,292.97
  5. Step 5: Solve for x
    x = 39,640,292.97/5,623.65
  6. Step 6: Final answer
    x = 7,048.85

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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.