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Finding the Fourth Proportional to 4,470.69, 6,706.17 and 2,130.95

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Solution

The fourth proportional to 4,470.69, 6,706.17 and 2,130.95 is: 3,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.69 : 6,706.17 = 2,130.95 : x
  2. Step 2: Convert to fraction form
    4,470.69/6,706.17 = 2,130.95/x
  3. Step 3: Cross multiply
    4,470.69x = 6,706.17 × 2,130.95
  4. Step 4: Simplify right side
    4,470.69x = 14,290,479.43
  5. Step 5: Solve for x
    x = 14,290,479.43/4,470.69
  6. Step 6: Final answer
    x = 3,196.48

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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.