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Finding the Fourth Proportional to 3,017.86, 4,525.42 and 937.24

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Solution

The fourth proportional to 3,017.86, 4,525.42 and 937.24 is: 1,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.86 : 4,525.42 = 937.24 : x
  2. Step 2: Convert to fraction form
    3,017.86/4,525.42 = 937.24/x
  3. Step 3: Cross multiply
    3,017.86x = 4,525.42 × 937.24
  4. Step 4: Simplify right side
    3,017.86x = 4,241,411.27
  5. Step 5: Solve for x
    x = 4,241,411.27/3,017.86
  6. Step 6: Final answer
    x = 1,405.44

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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.