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Finding the Fourth Proportional to 5,856.48, 8,784.48 and 1,752.48

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Solution

The fourth proportional to 5,856.48, 8,784.48 and 1,752.48 is: 2,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.48 : 8,784.48 = 1,752.48 : x
  2. Step 2: Convert to fraction form
    5,856.48/8,784.48 = 1,752.48/x
  3. Step 3: Cross multiply
    5,856.48x = 8,784.48 × 1,752.48
  4. Step 4: Simplify right side
    5,856.48x = 15,394,625.51
  5. Step 5: Solve for x
    x = 15,394,625.51/5,856.48
  6. Step 6: Final answer
    x = 2,628.65

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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.