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Finding the Fourth Proportional to 4,706.99, 6,492.05 and 3,447.60

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Solution

The fourth proportional to 4,706.99, 6,492.05 and 3,447.60 is: 4,755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.99 : 6,492.05 = 3,447.60 : x
  2. Step 2: Convert to fraction form
    4,706.99/6,492.05 = 3,447.60/x
  3. Step 3: Cross multiply
    4,706.99x = 6,492.05 × 3,447.60
  4. Step 4: Simplify right side
    4,706.99x = 22,381,962.93
  5. Step 5: Solve for x
    x = 22,381,962.93/4,706.99
  6. Step 6: Final answer
    x = 4,755.04

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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.