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Finding the Fourth Proportional to 4,657.91, 6,987.35 and 2,318.49

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Solution

The fourth proportional to 4,657.91, 6,987.35 and 2,318.49 is: 3,477.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.91 : 6,987.35 = 2,318.49 : x
  2. Step 2: Convert to fraction form
    4,657.91/6,987.35 = 2,318.49/x
  3. Step 3: Cross multiply
    4,657.91x = 6,987.35 × 2,318.49
  4. Step 4: Simplify right side
    4,657.91x = 16,200,093.86
  5. Step 5: Solve for x
    x = 16,200,093.86/4,657.91
  6. Step 6: Final answer
    x = 3,477.98

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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.