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Finding the Fourth Proportional to 3,525, 4,864.68 and 1,953.24

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Solution

The fourth proportional to 3,525, 4,864.68 and 1,953.24 is: 2,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525 : 4,864.68 = 1,953.24 : x
  2. Step 2: Convert to fraction form
    3,525/4,864.68 = 1,953.24/x
  3. Step 3: Cross multiply
    3,525x = 4,864.68 × 1,953.24
  4. Step 4: Simplify right side
    3,525x = 9,501,887.56
  5. Step 5: Solve for x
    x = 9,501,887.56/3,525
  6. Step 6: Final answer
    x = 2,695.57

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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.