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Finding the Fourth Proportional to 4,492.18, 6,199.50 and 3,092.50

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Solution

The fourth proportional to 4,492.18, 6,199.50 and 3,092.50 is: 4,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.18 : 6,199.50 = 3,092.50 : x
  2. Step 2: Convert to fraction form
    4,492.18/6,199.50 = 3,092.50/x
  3. Step 3: Cross multiply
    4,492.18x = 6,199.50 × 3,092.50
  4. Step 4: Simplify right side
    4,492.18x = 19,171,953.75
  5. Step 5: Solve for x
    x = 19,171,953.75/4,492.18
  6. Step 6: Final answer
    x = 4,267.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.