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Finding the Fourth Proportional to 4,492.58, 6,735.68 and 1,716.91

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Solution

The fourth proportional to 4,492.58, 6,735.68 and 1,716.91 is: 2,574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.58 : 6,735.68 = 1,716.91 : x
  2. Step 2: Convert to fraction form
    4,492.58/6,735.68 = 1,716.91/x
  3. Step 3: Cross multiply
    4,492.58x = 6,735.68 × 1,716.91
  4. Step 4: Simplify right side
    4,492.58x = 11,564,540.80
  5. Step 5: Solve for x
    x = 11,564,540.80/4,492.58
  6. Step 6: Final answer
    x = 2,574.14

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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.