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Finding the Fourth Proportional to 6,089.34, 8,403.84 and 3,437.40

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Solution

The fourth proportional to 6,089.34, 8,403.84 and 3,437.40 is: 4,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.34 : 8,403.84 = 3,437.40 : x
  2. Step 2: Convert to fraction form
    6,089.34/8,403.84 = 3,437.40/x
  3. Step 3: Cross multiply
    6,089.34x = 8,403.84 × 3,437.40
  4. Step 4: Simplify right side
    6,089.34x = 28,887,359.62
  5. Step 5: Solve for x
    x = 28,887,359.62/6,089.34
  6. Step 6: Final answer
    x = 4,743.92

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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.