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Finding the Fourth Proportional to 5,420.02, 8,129.08 and 1,523.50

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Solution

The fourth proportional to 5,420.02, 8,129.08 and 1,523.50 is: 2,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.02 : 8,129.08 = 1,523.50 : x
  2. Step 2: Convert to fraction form
    5,420.02/8,129.08 = 1,523.50/x
  3. Step 3: Cross multiply
    5,420.02x = 8,129.08 × 1,523.50
  4. Step 4: Simplify right side
    5,420.02x = 12,384,653.38
  5. Step 5: Solve for x
    x = 12,384,653.38/5,420.02
  6. Step 6: Final answer
    x = 2,284.98

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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.