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Finding the Fourth Proportional to 4,557.44, 6,838.76 and 1,924.76

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Solution

The fourth proportional to 4,557.44, 6,838.76 and 1,924.76 is: 2,888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557.44 : 6,838.76 = 1,924.76 : x
  2. Step 2: Convert to fraction form
    4,557.44/6,838.76 = 1,924.76/x
  3. Step 3: Cross multiply
    4,557.44x = 6,838.76 × 1,924.76
  4. Step 4: Simplify right side
    4,557.44x = 13,162,971.70
  5. Step 5: Solve for x
    x = 13,162,971.70/4,557.44
  6. Step 6: Final answer
    x = 2,888.24

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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.