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Finding the Fourth Proportional to 3,582.93, 5,378.04 and 2,409.24

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Solution

The fourth proportional to 3,582.93, 5,378.04 and 2,409.24 is: 3,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.93 : 5,378.04 = 2,409.24 : x
  2. Step 2: Convert to fraction form
    3,582.93/5,378.04 = 2,409.24/x
  3. Step 3: Cross multiply
    3,582.93x = 5,378.04 × 2,409.24
  4. Step 4: Simplify right side
    3,582.93x = 12,956,989.09
  5. Step 5: Solve for x
    x = 12,956,989.09/3,582.93
  6. Step 6: Final answer
    x = 3,616.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.