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Finding the Fourth Proportional to 5,466.04, 8,199 and 1,570.45

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Solution

The fourth proportional to 5,466.04, 8,199 and 1,570.45 is: 2,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.04 : 8,199 = 1,570.45 : x
  2. Step 2: Convert to fraction form
    5,466.04/8,199 = 1,570.45/x
  3. Step 3: Cross multiply
    5,466.04x = 8,199 × 1,570.45
  4. Step 4: Simplify right side
    5,466.04x = 12,876,119.55
  5. Step 5: Solve for x
    x = 12,876,119.55/5,466.04
  6. Step 6: Final answer
    x = 2,355.66

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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.