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Finding the Fourth Proportional to 4,995.92, 6,895 and 2,900.16

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Solution

The fourth proportional to 4,995.92, 6,895 and 2,900.16 is: 4,002.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995.92 : 6,895 = 2,900.16 : x
  2. Step 2: Convert to fraction form
    4,995.92/6,895 = 2,900.16/x
  3. Step 3: Cross multiply
    4,995.92x = 6,895 × 2,900.16
  4. Step 4: Simplify right side
    4,995.92x = 19,996,603.20
  5. Step 5: Solve for x
    x = 19,996,603.20/4,995.92
  6. Step 6: Final answer
    x = 4,002.59

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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.