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Finding the Fourth Proportional to 4,492.75, 6,740.33 and 2,546.32

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Solution

The fourth proportional to 4,492.75, 6,740.33 and 2,546.32 is: 3,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.75 : 6,740.33 = 2,546.32 : x
  2. Step 2: Convert to fraction form
    4,492.75/6,740.33 = 2,546.32/x
  3. Step 3: Cross multiply
    4,492.75x = 6,740.33 × 2,546.32
  4. Step 4: Simplify right side
    4,492.75x = 17,163,003.38
  5. Step 5: Solve for x
    x = 17,163,003.38/4,492.75
  6. Step 6: Final answer
    x = 3,820.16

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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.