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Finding the Fourth Proportional to 4,707.65, 6,492.93 and 3,448.26

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Solution

The fourth proportional to 4,707.65, 6,492.93 and 3,448.26 is: 4,755.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.65 : 6,492.93 = 3,448.26 : x
  2. Step 2: Convert to fraction form
    4,707.65/6,492.93 = 3,448.26/x
  3. Step 3: Cross multiply
    4,707.65x = 6,492.93 × 3,448.26
  4. Step 4: Simplify right side
    4,707.65x = 22,389,310.80
  5. Step 5: Solve for x
    x = 22,389,310.80/4,707.65
  6. Step 6: Final answer
    x = 4,755.95

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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.