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Finding the Fourth Proportional to 3,510.25, 5,265.22 and 877.79

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Solution

The fourth proportional to 3,510.25, 5,265.22 and 877.79 is: 1,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510.25 : 5,265.22 = 877.79 : x
  2. Step 2: Convert to fraction form
    3,510.25/5,265.22 = 877.79/x
  3. Step 3: Cross multiply
    3,510.25x = 5,265.22 × 877.79
  4. Step 4: Simplify right side
    3,510.25x = 4,621,740.46
  5. Step 5: Solve for x
    x = 4,621,740.46/3,510.25
  6. Step 6: Final answer
    x = 1,316.64

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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.