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Finding the Fourth Proportional to 5,566.52, 8,351.10 and 1,670.90

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Solution

The fourth proportional to 5,566.52, 8,351.10 and 1,670.90 is: 2,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,566.52 : 8,351.10 = 1,670.90 : x
  2. Step 2: Convert to fraction form
    5,566.52/8,351.10 = 1,670.90/x
  3. Step 3: Cross multiply
    5,566.52x = 8,351.10 × 1,670.90
  4. Step 4: Simplify right side
    5,566.52x = 13,953,811.23
  5. Step 5: Solve for x
    x = 13,953,811.23/5,566.52
  6. Step 6: Final answer
    x = 2,506.74

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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.