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Finding the Fourth Proportional to 4,847.52, 6,688.62 and 2,858.16

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Solution

The fourth proportional to 4,847.52, 6,688.62 and 2,858.16 is: 3,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.52 : 6,688.62 = 2,858.16 : x
  2. Step 2: Convert to fraction form
    4,847.52/6,688.62 = 2,858.16/x
  3. Step 3: Cross multiply
    4,847.52x = 6,688.62 × 2,858.16
  4. Step 4: Simplify right side
    4,847.52x = 19,117,146.14
  5. Step 5: Solve for x
    x = 19,117,146.14/4,847.52
  6. Step 6: Final answer
    x = 3,943.70

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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.