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Finding the Fourth Proportional to 5,283.37, 7,924.78 and 1,585.63

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Solution

The fourth proportional to 5,283.37, 7,924.78 and 1,585.63 is: 2,378.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.37 : 7,924.78 = 1,585.63 : x
  2. Step 2: Convert to fraction form
    5,283.37/7,924.78 = 1,585.63/x
  3. Step 3: Cross multiply
    5,283.37x = 7,924.78 × 1,585.63
  4. Step 4: Simplify right side
    5,283.37x = 12,565,768.91
  5. Step 5: Solve for x
    x = 12,565,768.91/5,283.37
  6. Step 6: Final answer
    x = 2,378.36

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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.