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Finding the Fourth Proportional to 4,492.83, 6,730.74 and 2,546.40

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Solution

The fourth proportional to 4,492.83, 6,730.74 and 2,546.40 is: 3,814.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.83 : 6,730.74 = 2,546.40 : x
  2. Step 2: Convert to fraction form
    4,492.83/6,730.74 = 2,546.40/x
  3. Step 3: Cross multiply
    4,492.83x = 6,730.74 × 2,546.40
  4. Step 4: Simplify right side
    4,492.83x = 17,139,156.34
  5. Step 5: Solve for x
    x = 17,139,156.34/4,492.83
  6. Step 6: Final answer
    x = 3,814.78

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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.