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Finding the Fourth Proportional to 4,686.37, 7,027.17 and 1,565.26

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Solution

The fourth proportional to 4,686.37, 7,027.17 and 1,565.26 is: 2,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,686.37 : 7,027.17 = 1,565.26 : x
  2. Step 2: Convert to fraction form
    4,686.37/7,027.17 = 1,565.26/x
  3. Step 3: Cross multiply
    4,686.37x = 7,027.17 × 1,565.26
  4. Step 4: Simplify right side
    4,686.37x = 10,999,333.48
  5. Step 5: Solve for x
    x = 10,999,333.48/4,686.37
  6. Step 6: Final answer
    x = 2,347.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.