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Finding the Fourth Proportional to 8,896.97, 13,345.29 and 2,657.00

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Solution

The fourth proportional to 8,896.97, 13,345.29 and 2,657.00 is: 3,985.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.97 : 13,345.29 = 2,657.00 : x
  2. Step 2: Convert to fraction form
    8,896.97/13,345.29 = 2,657.00/x
  3. Step 3: Cross multiply
    8,896.97x = 13,345.29 × 2,657.00
  4. Step 4: Simplify right side
    8,896.97x = 35,458,468.89
  5. Step 5: Solve for x
    x = 35,458,468.89/8,896.97
  6. Step 6: Final answer
    x = 3,985.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.