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Finding the Fourth Proportional to 3,524.96, 4,864.74 and 1,953.20

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Solution

The fourth proportional to 3,524.96, 4,864.74 and 1,953.20 is: 2,695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.96 : 4,864.74 = 1,953.20 : x
  2. Step 2: Convert to fraction form
    3,524.96/4,864.74 = 1,953.20/x
  3. Step 3: Cross multiply
    3,524.96x = 4,864.74 × 1,953.20
  4. Step 4: Simplify right side
    3,524.96x = 9,501,810.17
  5. Step 5: Solve for x
    x = 9,501,810.17/3,524.96
  6. Step 6: Final answer
    x = 2,695.58

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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.