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Finding the Fourth Proportional to 3,271.77, 4,909.28 and 2,457.09

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Solution

The fourth proportional to 3,271.77, 4,909.28 and 2,457.09 is: 3,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271.77 : 4,909.28 = 2,457.09 : x
  2. Step 2: Convert to fraction form
    3,271.77/4,909.28 = 2,457.09/x
  3. Step 3: Cross multiply
    3,271.77x = 4,909.28 × 2,457.09
  4. Step 4: Simplify right side
    3,271.77x = 12,062,530.51
  5. Step 5: Solve for x
    x = 12,062,530.51/3,271.77
  6. Step 6: Final answer
    x = 3,686.85

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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.