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Finding the Fourth Proportional to 3,533.58, 5,300.41 and 1,068.42

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Solution

The fourth proportional to 3,533.58, 5,300.41 and 1,068.42 is: 1,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.58 : 5,300.41 = 1,068.42 : x
  2. Step 2: Convert to fraction form
    3,533.58/5,300.41 = 1,068.42/x
  3. Step 3: Cross multiply
    3,533.58x = 5,300.41 × 1,068.42
  4. Step 4: Simplify right side
    3,533.58x = 5,663,064.05
  5. Step 5: Solve for x
    x = 5,663,064.05/3,533.58
  6. Step 6: Final answer
    x = 1,602.64

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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.