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Finding the Fourth Proportional to 4,364.60, 6,546.90 and 2,024.60

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Solution

The fourth proportional to 4,364.60, 6,546.90 and 2,024.60 is: 3,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.60 : 6,546.90 = 2,024.60 : x
  2. Step 2: Convert to fraction form
    4,364.60/6,546.90 = 2,024.60/x
  3. Step 3: Cross multiply
    4,364.60x = 6,546.90 × 2,024.60
  4. Step 4: Simplify right side
    4,364.60x = 13,254,853.74
  5. Step 5: Solve for x
    x = 13,254,853.74/4,364.60
  6. Step 6: Final answer
    x = 3,036.90

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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.