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Finding the Fourth Proportional to 3,525, 4,864.42 and 1,953.08

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Solution

The fourth proportional to 3,525, 4,864.42 and 1,953.08 is: 2,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525 : 4,864.42 = 1,953.08 : x
  2. Step 2: Convert to fraction form
    3,525/4,864.42 = 1,953.08/x
  3. Step 3: Cross multiply
    3,525x = 4,864.42 × 1,953.08
  4. Step 4: Simplify right side
    3,525x = 9,500,601.41
  5. Step 5: Solve for x
    x = 9,500,601.41/3,525
  6. Step 6: Final answer
    x = 2,695.21

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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.