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Finding the Fourth Proportional to 6,449.24, 8,898.59 and 4,214.40

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Solution

The fourth proportional to 6,449.24, 8,898.59 and 4,214.40 is: 5,814.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.24 : 8,898.59 = 4,214.40 : x
  2. Step 2: Convert to fraction form
    6,449.24/8,898.59 = 4,214.40/x
  3. Step 3: Cross multiply
    6,449.24x = 8,898.59 × 4,214.40
  4. Step 4: Simplify right side
    6,449.24x = 37,502,196.62
  5. Step 5: Solve for x
    x = 37,502,196.62/6,449.24
  6. Step 6: Final answer
    x = 5,814.98

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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.