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Finding the Fourth Proportional to 4,594.33, 6,894.76 and 1,821.60

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Solution

The fourth proportional to 4,594.33, 6,894.76 and 1,821.60 is: 2,733.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.33 : 6,894.76 = 1,821.60 : x
  2. Step 2: Convert to fraction form
    4,594.33/6,894.76 = 1,821.60/x
  3. Step 3: Cross multiply
    4,594.33x = 6,894.76 × 1,821.60
  4. Step 4: Simplify right side
    4,594.33x = 12,559,494.82
  5. Step 5: Solve for x
    x = 12,559,494.82/4,594.33
  6. Step 6: Final answer
    x = 2,733.69

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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.