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Finding the Fourth Proportional to 3,841.02, 5,763.76 and 1,619.71

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Solution

The fourth proportional to 3,841.02, 5,763.76 and 1,619.71 is: 2,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.02 : 5,763.76 = 1,619.71 : x
  2. Step 2: Convert to fraction form
    3,841.02/5,763.76 = 1,619.71/x
  3. Step 3: Cross multiply
    3,841.02x = 5,763.76 × 1,619.71
  4. Step 4: Simplify right side
    3,841.02x = 9,335,582.79
  5. Step 5: Solve for x
    x = 9,335,582.79/3,841.02
  6. Step 6: Final answer
    x = 2,430.50

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1.5x scale

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.