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Finding the Fourth Proportional to 5,116.53, 7,680.93 and 3,468.08

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Solution

The fourth proportional to 5,116.53, 7,680.93 and 3,468.08 is: 5,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.53 : 7,680.93 = 3,468.08 : x
  2. Step 2: Convert to fraction form
    5,116.53/7,680.93 = 3,468.08/x
  3. Step 3: Cross multiply
    5,116.53x = 7,680.93 × 3,468.08
  4. Step 4: Simplify right side
    5,116.53x = 26,638,041.31
  5. Step 5: Solve for x
    x = 26,638,041.31/5,116.53
  6. Step 6: Final answer
    x = 5,206.27

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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.