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Finding the Fourth Proportional to 4,651.84, 6,421.08 and 3,164.68

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Solution

The fourth proportional to 4,651.84, 6,421.08 and 3,164.68 is: 4,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.84 : 6,421.08 = 3,164.68 : x
  2. Step 2: Convert to fraction form
    4,651.84/6,421.08 = 3,164.68/x
  3. Step 3: Cross multiply
    4,651.84x = 6,421.08 × 3,164.68
  4. Step 4: Simplify right side
    4,651.84x = 20,320,663.45
  5. Step 5: Solve for x
    x = 20,320,663.45/4,651.84
  6. Step 6: Final answer
    x = 4,368.31

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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.