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Finding the Fourth Proportional to 4,688.40, 6,473.16 and 4,189.44

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Solution

The fourth proportional to 4,688.40, 6,473.16 and 4,189.44 is: 5,784.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.40 : 6,473.16 = 4,189.44 : x
  2. Step 2: Convert to fraction form
    4,688.40/6,473.16 = 4,189.44/x
  3. Step 3: Cross multiply
    4,688.40x = 6,473.16 × 4,189.44
  4. Step 4: Simplify right side
    4,688.40x = 27,118,915.43
  5. Step 5: Solve for x
    x = 27,118,915.43/4,688.40
  6. Step 6: Final answer
    x = 5,784.26

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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.