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Finding the Fourth Proportional to 4,098.36, 6,139.32 and 1,904.04

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Solution

The fourth proportional to 4,098.36, 6,139.32 and 1,904.04 is: 2,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.36 : 6,139.32 = 1,904.04 : x
  2. Step 2: Convert to fraction form
    4,098.36/6,139.32 = 1,904.04/x
  3. Step 3: Cross multiply
    4,098.36x = 6,139.32 × 1,904.04
  4. Step 4: Simplify right side
    4,098.36x = 11,689,510.85
  5. Step 5: Solve for x
    x = 11,689,510.85/4,098.36
  6. Step 6: Final answer
    x = 2,852.24

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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.