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Finding the Fourth Proportional to 5,283.19, 7,924.74 and 1,585.27

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Solution

The fourth proportional to 5,283.19, 7,924.74 and 1,585.27 is: 2,377.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.19 : 7,924.74 = 1,585.27 : x
  2. Step 2: Convert to fraction form
    5,283.19/7,924.74 = 1,585.27/x
  3. Step 3: Cross multiply
    5,283.19x = 7,924.74 × 1,585.27
  4. Step 4: Simplify right side
    5,283.19x = 12,562,856.54
  5. Step 5: Solve for x
    x = 12,562,856.54/5,283.19
  6. Step 6: Final answer
    x = 2,377.89

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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.