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Finding the Fourth Proportional to 5,276, 7,280.96 and 2,918.16

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Solution

The fourth proportional to 5,276, 7,280.96 and 2,918.16 is: 4,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,276 : 7,280.96 = 2,918.16 : x
  2. Step 2: Convert to fraction form
    5,276/7,280.96 = 2,918.16/x
  3. Step 3: Cross multiply
    5,276x = 7,280.96 × 2,918.16
  4. Step 4: Simplify right side
    5,276x = 21,247,006.23
  5. Step 5: Solve for x
    x = 21,247,006.23/5,276
  6. Step 6: Final answer
    x = 4,027.11

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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.