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Finding the Fourth Proportional to 5,589.75, 7,710.65 and 3,490.23

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Solution

The fourth proportional to 5,589.75, 7,710.65 and 3,490.23 is: 4,814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.75 : 7,710.65 = 3,490.23 : x
  2. Step 2: Convert to fraction form
    5,589.75/7,710.65 = 3,490.23/x
  3. Step 3: Cross multiply
    5,589.75x = 7,710.65 × 3,490.23
  4. Step 4: Simplify right side
    5,589.75x = 26,911,924.50
  5. Step 5: Solve for x
    x = 26,911,924.50/5,589.75
  6. Step 6: Final answer
    x = 4,814.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.