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Finding the Fourth Proportional to 5,710, 8,566.44 and 1,606

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Solution

The fourth proportional to 5,710, 8,566.44 and 1,606 is: 2,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710 : 8,566.44 = 1,606 : x
  2. Step 2: Convert to fraction form
    5,710/8,566.44 = 1,606/x
  3. Step 3: Cross multiply
    5,710x = 8,566.44 × 1,606
  4. Step 4: Simplify right side
    5,710x = 13,757,702.64
  5. Step 5: Solve for x
    x = 13,757,702.64/5,710
  6. Step 6: Final answer
    x = 2,409.41

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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.