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Finding the Fourth Proportional to 4,810.83, 7,209.86 and 2,470.74

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Solution

The fourth proportional to 4,810.83, 7,209.86 and 2,470.74 is: 3,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.83 : 7,209.86 = 2,470.74 : x
  2. Step 2: Convert to fraction form
    4,810.83/7,209.86 = 2,470.74/x
  3. Step 3: Cross multiply
    4,810.83x = 7,209.86 × 2,470.74
  4. Step 4: Simplify right side
    4,810.83x = 17,813,689.50
  5. Step 5: Solve for x
    x = 17,813,689.50/4,810.83
  6. Step 6: Final answer
    x = 3,702.83

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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.