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Finding the Fourth Proportional to 3,653.34, 5,475.78 and 1,701.42

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Solution

The fourth proportional to 3,653.34, 5,475.78 and 1,701.42 is: 2,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.34 : 5,475.78 = 1,701.42 : x
  2. Step 2: Convert to fraction form
    3,653.34/5,475.78 = 1,701.42/x
  3. Step 3: Cross multiply
    3,653.34x = 5,475.78 × 1,701.42
  4. Step 4: Simplify right side
    3,653.34x = 9,316,601.61
  5. Step 5: Solve for x
    x = 9,316,601.61/3,653.34
  6. Step 6: Final answer
    x = 2,550.16

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