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Finding the Fourth Proportional to 4,223.62, 6,335.60 and 1,590.86

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Solution

The fourth proportional to 4,223.62, 6,335.60 and 1,590.86 is: 2,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.62 : 6,335.60 = 1,590.86 : x
  2. Step 2: Convert to fraction form
    4,223.62/6,335.60 = 1,590.86/x
  3. Step 3: Cross multiply
    4,223.62x = 6,335.60 × 1,590.86
  4. Step 4: Simplify right side
    4,223.62x = 10,079,052.62
  5. Step 5: Solve for x
    x = 10,079,052.62/4,223.62
  6. Step 6: Final answer
    x = 2,386.35

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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.