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Finding the Fourth Proportional to 5,563.02, 8,343.90 and 1,666.50

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Solution

The fourth proportional to 5,563.02, 8,343.90 and 1,666.50 is: 2,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.02 : 8,343.90 = 1,666.50 : x
  2. Step 2: Convert to fraction form
    5,563.02/8,343.90 = 1,666.50/x
  3. Step 3: Cross multiply
    5,563.02x = 8,343.90 × 1,666.50
  4. Step 4: Simplify right side
    5,563.02x = 13,905,109.35
  5. Step 5: Solve for x
    x = 13,905,109.35/5,563.02
  6. Step 6: Final answer
    x = 2,499.56

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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.