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Finding the Fourth Proportional to 4,395, 6,590.67 and 1,621.83

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Solution

The fourth proportional to 4,395, 6,590.67 and 1,621.83 is: 2,432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,395 : 6,590.67 = 1,621.83 : x
  2. Step 2: Convert to fraction form
    4,395/6,590.67 = 1,621.83/x
  3. Step 3: Cross multiply
    4,395x = 6,590.67 × 1,621.83
  4. Step 4: Simplify right side
    4,395x = 10,688,946.33
  5. Step 5: Solve for x
    x = 10,688,946.33/4,395
  6. Step 6: Final answer
    x = 2,432.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.