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Finding the Fourth Proportional to 4,594.42, 6,887.58 and 1,823.04

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Solution

The fourth proportional to 4,594.42, 6,887.58 and 1,823.04 is: 2,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.42 : 6,887.58 = 1,823.04 : x
  2. Step 2: Convert to fraction form
    4,594.42/6,887.58 = 1,823.04/x
  3. Step 3: Cross multiply
    4,594.42x = 6,887.58 × 1,823.04
  4. Step 4: Simplify right side
    4,594.42x = 12,556,333.84
  5. Step 5: Solve for x
    x = 12,556,333.84/4,594.42
  6. Step 6: Final answer
    x = 2,732.95

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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.