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Finding the Fourth Proportional to 5,602.42, 8,406.46 and 2,317.87

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Solution

The fourth proportional to 5,602.42, 8,406.46 and 2,317.87 is: 3,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.42 : 8,406.46 = 2,317.87 : x
  2. Step 2: Convert to fraction form
    5,602.42/8,406.46 = 2,317.87/x
  3. Step 3: Cross multiply
    5,602.42x = 8,406.46 × 2,317.87
  4. Step 4: Simplify right side
    5,602.42x = 19,485,063.32
  5. Step 5: Solve for x
    x = 19,485,063.32/5,602.42
  6. Step 6: Final answer
    x = 3,477.97

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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.