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Finding the Fourth Proportional to 4,976.48, 7,448.52 and 3,019.52

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Solution

The fourth proportional to 4,976.48, 7,448.52 and 3,019.52 is: 4,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.48 : 7,448.52 = 3,019.52 : x
  2. Step 2: Convert to fraction form
    4,976.48/7,448.52 = 3,019.52/x
  3. Step 3: Cross multiply
    4,976.48x = 7,448.52 × 3,019.52
  4. Step 4: Simplify right side
    4,976.48x = 22,490,955.11
  5. Step 5: Solve for x
    x = 22,490,955.11/4,976.48
  6. Step 6: Final answer
    x = 4,519.45

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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.