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Finding the Fourth Proportional to 4,688.66, 6,468.96 and 2,699.17

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Solution

The fourth proportional to 4,688.66, 6,468.96 and 2,699.17 is: 3,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.66 : 6,468.96 = 2,699.17 : x
  2. Step 2: Convert to fraction form
    4,688.66/6,468.96 = 2,699.17/x
  3. Step 3: Cross multiply
    4,688.66x = 6,468.96 × 2,699.17
  4. Step 4: Simplify right side
    4,688.66x = 17,460,790.42
  5. Step 5: Solve for x
    x = 17,460,790.42/4,688.66
  6. Step 6: Final answer
    x = 3,724.05

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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.