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Finding the Fourth Proportional to 4,706.62, 6,492.28 and 3,113.26

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Solution

The fourth proportional to 4,706.62, 6,492.28 and 3,113.26 is: 4,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.62 : 6,492.28 = 3,113.26 : x
  2. Step 2: Convert to fraction form
    4,706.62/6,492.28 = 3,113.26/x
  3. Step 3: Cross multiply
    4,706.62x = 6,492.28 × 3,113.26
  4. Step 4: Simplify right side
    4,706.62x = 20,212,155.63
  5. Step 5: Solve for x
    x = 20,212,155.63/4,706.62
  6. Step 6: Final answer
    x = 4,294.41

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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.