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Finding the Fourth Proportional to 3,475.70, 4,798.71 and 3,102.04

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Solution

The fourth proportional to 3,475.70, 4,798.71 and 3,102.04 is: 4,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.70 : 4,798.71 = 3,102.04 : x
  2. Step 2: Convert to fraction form
    3,475.70/4,798.71 = 3,102.04/x
  3. Step 3: Cross multiply
    3,475.70x = 4,798.71 × 3,102.04
  4. Step 4: Simplify right side
    3,475.70x = 14,885,790.37
  5. Step 5: Solve for x
    x = 14,885,790.37/3,475.70
  6. Step 6: Final answer
    x = 4,282.82

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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.