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Finding the Fourth Proportional to 5,752.24, 8,628.12 and 1,648.24

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Solution

The fourth proportional to 5,752.24, 8,628.12 and 1,648.24 is: 2,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.24 : 8,628.12 = 1,648.24 : x
  2. Step 2: Convert to fraction form
    5,752.24/8,628.12 = 1,648.24/x
  3. Step 3: Cross multiply
    5,752.24x = 8,628.12 × 1,648.24
  4. Step 4: Simplify right side
    5,752.24x = 14,221,212.51
  5. Step 5: Solve for x
    x = 14,221,212.51/5,752.24
  6. Step 6: Final answer
    x = 2,472.29

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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.