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Finding the Fourth Proportional to 5,730.50, 8,599.08 and 2,652.50

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Solution

The fourth proportional to 5,730.50, 8,599.08 and 2,652.50 is: 3,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.50 : 8,599.08 = 2,652.50 : x
  2. Step 2: Convert to fraction form
    5,730.50/8,599.08 = 2,652.50/x
  3. Step 3: Cross multiply
    5,730.50x = 8,599.08 × 2,652.50
  4. Step 4: Simplify right side
    5,730.50x = 22,809,059.70
  5. Step 5: Solve for x
    x = 22,809,059.70/5,730.50
  6. Step 6: Final answer
    x = 3,980.29

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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.