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Finding the Fourth Proportional to 4,798.71, 7,180.23 and 4,210.95

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Solution

The fourth proportional to 4,798.71, 7,180.23 and 4,210.95 is: 6,300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.71 : 7,180.23 = 4,210.95 : x
  2. Step 2: Convert to fraction form
    4,798.71/7,180.23 = 4,210.95/x
  3. Step 3: Cross multiply
    4,798.71x = 7,180.23 × 4,210.95
  4. Step 4: Simplify right side
    4,798.71x = 30,235,589.52
  5. Step 5: Solve for x
    x = 30,235,589.52/4,798.71
  6. Step 6: Final answer
    x = 6,300.77

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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.