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Finding the Fourth Proportional to 3,533.76, 5,299.02 and 1,068.84

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Solution

The fourth proportional to 3,533.76, 5,299.02 and 1,068.84 is: 1,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.76 : 5,299.02 = 1,068.84 : x
  2. Step 2: Convert to fraction form
    3,533.76/5,299.02 = 1,068.84/x
  3. Step 3: Cross multiply
    3,533.76x = 5,299.02 × 1,068.84
  4. Step 4: Simplify right side
    3,533.76x = 5,663,804.54
  5. Step 5: Solve for x
    x = 5,663,804.54/3,533.76
  6. Step 6: Final answer
    x = 1,602.77

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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.