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Finding the Fourth Proportional to 5,734.74, 7,898.88 and 4,405.92

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Solution

The fourth proportional to 5,734.74, 7,898.88 and 4,405.92 is: 6,068.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.74 : 7,898.88 = 4,405.92 : x
  2. Step 2: Convert to fraction form
    5,734.74/7,898.88 = 4,405.92/x
  3. Step 3: Cross multiply
    5,734.74x = 7,898.88 × 4,405.92
  4. Step 4: Simplify right side
    5,734.74x = 34,801,833.37
  5. Step 5: Solve for x
    x = 34,801,833.37/5,734.74
  6. Step 6: Final answer
    x = 6,068.60

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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.