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Finding the Fourth Proportional to 5,152.99, 7,730.05 and 1,642.18

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Solution

The fourth proportional to 5,152.99, 7,730.05 and 1,642.18 is: 2,463.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.99 : 7,730.05 = 1,642.18 : x
  2. Step 2: Convert to fraction form
    5,152.99/7,730.05 = 1,642.18/x
  3. Step 3: Cross multiply
    5,152.99x = 7,730.05 × 1,642.18
  4. Step 4: Simplify right side
    5,152.99x = 12,694,086.65
  5. Step 5: Solve for x
    x = 12,694,086.65/5,152.99
  6. Step 6: Final answer
    x = 2,463.44

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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.