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Finding the Fourth Proportional to 3,666.29, 5,492.34 and 2,280.17

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Solution

The fourth proportional to 3,666.29, 5,492.34 and 2,280.17 is: 3,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.29 : 5,492.34 = 2,280.17 : x
  2. Step 2: Convert to fraction form
    3,666.29/5,492.34 = 2,280.17/x
  3. Step 3: Cross multiply
    3,666.29x = 5,492.34 × 2,280.17
  4. Step 4: Simplify right side
    3,666.29x = 12,523,482.63
  5. Step 5: Solve for x
    x = 12,523,482.63/3,666.29
  6. Step 6: Final answer
    x = 3,415.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.