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Finding the Fourth Proportional to 3,510.67, 5,265.94 and 1,047.16

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Solution

The fourth proportional to 3,510.67, 5,265.94 and 1,047.16 is: 1,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.67 : 5,265.94 = 1,047.16 : x
  2. Step 2: Convert to fraction form
    3,510.67/5,265.94 = 1,047.16/x
  3. Step 3: Cross multiply
    3,510.67x = 5,265.94 × 1,047.16
  4. Step 4: Simplify right side
    3,510.67x = 5,514,281.73
  5. Step 5: Solve for x
    x = 5,514,281.73/3,510.67
  6. Step 6: Final answer
    x = 1,570.72

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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.