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Finding the Fourth Proportional to 4,492.71, 6,729.93 and 2,298.42

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Solution

The fourth proportional to 4,492.71, 6,729.93 and 2,298.42 is: 3,442.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.71 : 6,729.93 = 2,298.42 : x
  2. Step 2: Convert to fraction form
    4,492.71/6,729.93 = 2,298.42/x
  3. Step 3: Cross multiply
    4,492.71x = 6,729.93 × 2,298.42
  4. Step 4: Simplify right side
    4,492.71x = 15,468,205.71
  5. Step 5: Solve for x
    x = 15,468,205.71/4,492.71
  6. Step 6: Final answer
    x = 3,442.96

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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.