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Finding the Fourth Proportional to 5,466.78, 8,201.38 and 1,570.88

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Solution

The fourth proportional to 5,466.78, 8,201.38 and 1,570.88 is: 2,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.78 : 8,201.38 = 1,570.88 : x
  2. Step 2: Convert to fraction form
    5,466.78/8,201.38 = 1,570.88/x
  3. Step 3: Cross multiply
    5,466.78x = 8,201.38 × 1,570.88
  4. Step 4: Simplify right side
    5,466.78x = 12,883,334.95
  5. Step 5: Solve for x
    x = 12,883,334.95/5,466.78
  6. Step 6: Final answer
    x = 2,356.66

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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.