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Finding the Fourth Proportional to 5,701.35, 7,859.12 and 4,017.98

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Solution

The fourth proportional to 5,701.35, 7,859.12 and 4,017.98 is: 5,538.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.35 : 7,859.12 = 4,017.98 : x
  2. Step 2: Convert to fraction form
    5,701.35/7,859.12 = 4,017.98/x
  3. Step 3: Cross multiply
    5,701.35x = 7,859.12 × 4,017.98
  4. Step 4: Simplify right side
    5,701.35x = 31,577,727.59
  5. Step 5: Solve for x
    x = 31,577,727.59/5,701.35
  6. Step 6: Final answer
    x = 5,538.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.