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Finding the Fourth Proportional to 5,696.84, 8,533.26 and 3,615.76

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Solution

The fourth proportional to 5,696.84, 8,533.26 and 3,615.76 is: 5,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.84 : 8,533.26 = 3,615.76 : x
  2. Step 2: Convert to fraction form
    5,696.84/8,533.26 = 3,615.76/x
  3. Step 3: Cross multiply
    5,696.84x = 8,533.26 × 3,615.76
  4. Step 4: Simplify right side
    5,696.84x = 30,854,220.18
  5. Step 5: Solve for x
    x = 30,854,220.18/5,696.84
  6. Step 6: Final answer
    x = 5,416.02

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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.