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Finding the Fourth Proportional to 3,510.58, 5,265.74 and 1,045.41

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Solution

The fourth proportional to 3,510.58, 5,265.74 and 1,045.41 is: 1,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.58 : 5,265.74 = 1,045.41 : x
  2. Step 2: Convert to fraction form
    3,510.58/5,265.74 = 1,045.41/x
  3. Step 3: Cross multiply
    3,510.58x = 5,265.74 × 1,045.41
  4. Step 4: Simplify right side
    3,510.58x = 5,504,857.25
  5. Step 5: Solve for x
    x = 5,504,857.25/3,510.58
  6. Step 6: Final answer
    x = 1,568.08

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Why These Related Problems?

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