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Finding the Fourth Proportional to 4,570.47, 6,856.26 and 1,608.21

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Solution

The fourth proportional to 4,570.47, 6,856.26 and 1,608.21 is: 2,412.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.47 : 6,856.26 = 1,608.21 : x
  2. Step 2: Convert to fraction form
    4,570.47/6,856.26 = 1,608.21/x
  3. Step 3: Cross multiply
    4,570.47x = 6,856.26 × 1,608.21
  4. Step 4: Simplify right side
    4,570.47x = 11,026,320.50
  5. Step 5: Solve for x
    x = 11,026,320.50/4,570.47
  6. Step 6: Final answer
    x = 2,412.52

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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.