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Finding the Fourth Proportional to 4,582.07, 6,873.15 and 1,462.05

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Solution

The fourth proportional to 4,582.07, 6,873.15 and 1,462.05 is: 2,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.07 : 6,873.15 = 1,462.05 : x
  2. Step 2: Convert to fraction form
    4,582.07/6,873.15 = 1,462.05/x
  3. Step 3: Cross multiply
    4,582.07x = 6,873.15 × 1,462.05
  4. Step 4: Simplify right side
    4,582.07x = 10,048,894.44
  5. Step 5: Solve for x
    x = 10,048,894.44/4,582.07
  6. Step 6: Final answer
    x = 2,193.09

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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.