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Finding the Fourth Proportional to 4,810.80, 7,216.02 and 2,470.80

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Solution

The fourth proportional to 4,810.80, 7,216.02 and 2,470.80 is: 3,706.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.80 : 7,216.02 = 2,470.80 : x
  2. Step 2: Convert to fraction form
    4,810.80/7,216.02 = 2,470.80/x
  3. Step 3: Cross multiply
    4,810.80x = 7,216.02 × 2,470.80
  4. Step 4: Simplify right side
    4,810.80x = 17,829,342.22
  5. Step 5: Solve for x
    x = 17,829,342.22/4,810.80
  6. Step 6: Final answer
    x = 3,706.11

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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.