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Finding the Fourth Proportional to 4,564.84, 6,845.64 and 1,642.36

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Solution

The fourth proportional to 4,564.84, 6,845.64 and 1,642.36 is: 2,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.84 : 6,845.64 = 1,642.36 : x
  2. Step 2: Convert to fraction form
    4,564.84/6,845.64 = 1,642.36/x
  3. Step 3: Cross multiply
    4,564.84x = 6,845.64 × 1,642.36
  4. Step 4: Simplify right side
    4,564.84x = 11,243,005.31
  5. Step 5: Solve for x
    x = 11,243,005.31/4,564.84
  6. Step 6: Final answer
    x = 2,462.96

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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.