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Finding the Fourth Proportional to 3,794.16, 5,688.51 and 2,558.51

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Solution

The fourth proportional to 3,794.16, 5,688.51 and 2,558.51 is: 3,835.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.16 : 5,688.51 = 2,558.51 : x
  2. Step 2: Convert to fraction form
    3,794.16/5,688.51 = 2,558.51/x
  3. Step 3: Cross multiply
    3,794.16x = 5,688.51 × 2,558.51
  4. Step 4: Simplify right side
    3,794.16x = 14,554,109.72
  5. Step 5: Solve for x
    x = 14,554,109.72/3,794.16
  6. Step 6: Final answer
    x = 3,835.92

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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.