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Finding the Fourth Proportional to 3,533.51, 5,300.82 and 1,068.02

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Solution

The fourth proportional to 3,533.51, 5,300.82 and 1,068.02 is: 1,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.51 : 5,300.82 = 1,068.02 : x
  2. Step 2: Convert to fraction form
    3,533.51/5,300.82 = 1,068.02/x
  3. Step 3: Cross multiply
    3,533.51x = 5,300.82 × 1,068.02
  4. Step 4: Simplify right side
    3,533.51x = 5,661,355.27
  5. Step 5: Solve for x
    x = 5,661,355.27/3,533.51
  6. Step 6: Final answer
    x = 1,602.19

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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.