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Finding the Fourth Proportional to 5,280.06, 7,920.93 and 1,816.50

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Solution

The fourth proportional to 5,280.06, 7,920.93 and 1,816.50 is: 2,725.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280.06 : 7,920.93 = 1,816.50 : x
  2. Step 2: Convert to fraction form
    5,280.06/7,920.93 = 1,816.50/x
  3. Step 3: Cross multiply
    5,280.06x = 7,920.93 × 1,816.50
  4. Step 4: Simplify right side
    5,280.06x = 14,388,369.35
  5. Step 5: Solve for x
    x = 14,388,369.35/5,280.06
  6. Step 6: Final answer
    x = 2,725.04

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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.