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Finding the Fourth Proportional to 4,594.74, 6,894.81 and 1,673.22

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Solution

The fourth proportional to 4,594.74, 6,894.81 and 1,673.22 is: 2,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.74 : 6,894.81 = 1,673.22 : x
  2. Step 2: Convert to fraction form
    4,594.74/6,894.81 = 1,673.22/x
  3. Step 3: Cross multiply
    4,594.74x = 6,894.81 × 1,673.22
  4. Step 4: Simplify right side
    4,594.74x = 11,536,533.99
  5. Step 5: Solve for x
    x = 11,536,533.99/4,594.74
  6. Step 6: Final answer
    x = 2,510.81

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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.