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Finding the Fourth Proportional to 4,231.06, 5,838.88 and 2,368.06

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Solution

The fourth proportional to 4,231.06, 5,838.88 and 2,368.06 is: 3,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.06 : 5,838.88 = 2,368.06 : x
  2. Step 2: Convert to fraction form
    4,231.06/5,838.88 = 2,368.06/x
  3. Step 3: Cross multiply
    4,231.06x = 5,838.88 × 2,368.06
  4. Step 4: Simplify right side
    4,231.06x = 13,826,818.17
  5. Step 5: Solve for x
    x = 13,826,818.17/4,231.06
  6. Step 6: Final answer
    x = 3,267.93

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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.