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Finding the Fourth Proportional to 3,498.97, 4,827.01 and 2,303.64

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Solution

The fourth proportional to 3,498.97, 4,827.01 and 2,303.64 is: 3,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.97 : 4,827.01 = 2,303.64 : x
  2. Step 2: Convert to fraction form
    3,498.97/4,827.01 = 2,303.64/x
  3. Step 3: Cross multiply
    3,498.97x = 4,827.01 × 2,303.64
  4. Step 4: Simplify right side
    3,498.97x = 11,119,682.16
  5. Step 5: Solve for x
    x = 11,119,682.16/3,498.97
  6. Step 6: Final answer
    x = 3,177.99

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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.