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Finding the Fourth Proportional to 3,492.99, 5,237.80 and 1,642.54

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Solution

The fourth proportional to 3,492.99, 5,237.80 and 1,642.54 is: 2,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.99 : 5,237.80 = 1,642.54 : x
  2. Step 2: Convert to fraction form
    3,492.99/5,237.80 = 1,642.54/x
  3. Step 3: Cross multiply
    3,492.99x = 5,237.80 × 1,642.54
  4. Step 4: Simplify right side
    3,492.99x = 8,603,296.01
  5. Step 5: Solve for x
    x = 8,603,296.01/3,492.99
  6. Step 6: Final answer
    x = 2,463.02

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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.