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Finding the Fourth Proportional to 5,664.96, 7,817.52 and 3,307.36

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Solution

The fourth proportional to 5,664.96, 7,817.52 and 3,307.36 is: 4,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.96 : 7,817.52 = 3,307.36 : x
  2. Step 2: Convert to fraction form
    5,664.96/7,817.52 = 3,307.36/x
  3. Step 3: Cross multiply
    5,664.96x = 7,817.52 × 3,307.36
  4. Step 4: Simplify right side
    5,664.96x = 25,855,352.95
  5. Step 5: Solve for x
    x = 25,855,352.95/5,664.96
  6. Step 6: Final answer
    x = 4,564.08

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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.