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Finding the Fourth Proportional to 4,492.77, 6,193.98 and 3,146.57

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Solution

The fourth proportional to 4,492.77, 6,193.98 and 3,146.57 is: 4,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.77 : 6,193.98 = 3,146.57 : x
  2. Step 2: Convert to fraction form
    4,492.77/6,193.98 = 3,146.57/x
  3. Step 3: Cross multiply
    4,492.77x = 6,193.98 × 3,146.57
  4. Step 4: Simplify right side
    4,492.77x = 19,489,807.13
  5. Step 5: Solve for x
    x = 19,489,807.13/4,492.77
  6. Step 6: Final answer
    x = 4,338.04

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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.