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Finding the Fourth Proportional to 3,544.07, 5,314.01 and 1,461.74

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Solution

The fourth proportional to 3,544.07, 5,314.01 and 1,461.74 is: 2,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.07 : 5,314.01 = 1,461.74 : x
  2. Step 2: Convert to fraction form
    3,544.07/5,314.01 = 1,461.74/x
  3. Step 3: Cross multiply
    3,544.07x = 5,314.01 × 1,461.74
  4. Step 4: Simplify right side
    3,544.07x = 7,767,667.10
  5. Step 5: Solve for x
    x = 7,767,667.10/3,544.07
  6. Step 6: Final answer
    x = 2,191.74

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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.