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Finding the Fourth Proportional to 5,648.83, 8,473.74 and 1,488.81

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Solution

The fourth proportional to 5,648.83, 8,473.74 and 1,488.81 is: 2,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.83 : 8,473.74 = 1,488.81 : x
  2. Step 2: Convert to fraction form
    5,648.83/8,473.74 = 1,488.81/x
  3. Step 3: Cross multiply
    5,648.83x = 8,473.74 × 1,488.81
  4. Step 4: Simplify right side
    5,648.83x = 12,615,739.04
  5. Step 5: Solve for x
    x = 12,615,739.04/5,648.83
  6. Step 6: Final answer
    x = 2,233.34

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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.