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Finding the Fourth Proportional to 4,224.38, 5,830.54 and 2,455.88

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Solution

The fourth proportional to 4,224.38, 5,830.54 and 2,455.88 is: 3,389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.38 : 5,830.54 = 2,455.88 : x
  2. Step 2: Convert to fraction form
    4,224.38/5,830.54 = 2,455.88/x
  3. Step 3: Cross multiply
    4,224.38x = 5,830.54 × 2,455.88
  4. Step 4: Simplify right side
    4,224.38x = 14,319,106.58
  5. Step 5: Solve for x
    x = 14,319,106.58/4,224.38
  6. Step 6: Final answer
    x = 3,389.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.