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Finding the Fourth Proportional to 3,588.77, 4,952.77 and 2,017.10

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Solution

The fourth proportional to 3,588.77, 4,952.77 and 2,017.10 is: 2,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.77 : 4,952.77 = 2,017.10 : x
  2. Step 2: Convert to fraction form
    3,588.77/4,952.77 = 2,017.10/x
  3. Step 3: Cross multiply
    3,588.77x = 4,952.77 × 2,017.10
  4. Step 4: Simplify right side
    3,588.77x = 9,990,202.56
  5. Step 5: Solve for x
    x = 9,990,202.56/3,588.77
  6. Step 6: Final answer
    x = 2,783.74

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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.