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Finding the Fourth Proportional to 4,706.49, 6,492.11 and 3,113.13

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Solution

The fourth proportional to 4,706.49, 6,492.11 and 3,113.13 is: 4,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.49 : 6,492.11 = 3,113.13 : x
  2. Step 2: Convert to fraction form
    4,706.49/6,492.11 = 3,113.13/x
  3. Step 3: Cross multiply
    4,706.49x = 6,492.11 × 3,113.13
  4. Step 4: Simplify right side
    4,706.49x = 20,210,766.84
  5. Step 5: Solve for x
    x = 20,210,766.84/4,706.49
  6. Step 6: Final answer
    x = 4,294.23

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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.