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Finding the Fourth Proportional to 3,703.63, 5,559.78 and 2,924.16

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Solution

The fourth proportional to 3,703.63, 5,559.78 and 2,924.16 is: 4,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.63 : 5,559.78 = 2,924.16 : x
  2. Step 2: Convert to fraction form
    3,703.63/5,559.78 = 2,924.16/x
  3. Step 3: Cross multiply
    3,703.63x = 5,559.78 × 2,924.16
  4. Step 4: Simplify right side
    3,703.63x = 16,257,686.28
  5. Step 5: Solve for x
    x = 16,257,686.28/3,703.63
  6. Step 6: Final answer
    x = 4,389.66

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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.