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Finding the Fourth Proportional to 5,048.48, 7,572.76 and 1,927.65

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Solution

The fourth proportional to 5,048.48, 7,572.76 and 1,927.65 is: 2,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.48 : 7,572.76 = 1,927.65 : x
  2. Step 2: Convert to fraction form
    5,048.48/7,572.76 = 1,927.65/x
  3. Step 3: Cross multiply
    5,048.48x = 7,572.76 × 1,927.65
  4. Step 4: Simplify right side
    5,048.48x = 14,597,630.81
  5. Step 5: Solve for x
    x = 14,597,630.81/5,048.48
  6. Step 6: Final answer
    x = 2,891.49

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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.