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Finding the Fourth Proportional to 4,256.74, 6,385.10 and 1,335.26

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Solution

The fourth proportional to 4,256.74, 6,385.10 and 1,335.26 is: 2,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.74 : 6,385.10 = 1,335.26 : x
  2. Step 2: Convert to fraction form
    4,256.74/6,385.10 = 1,335.26/x
  3. Step 3: Cross multiply
    4,256.74x = 6,385.10 × 1,335.26
  4. Step 4: Simplify right side
    4,256.74x = 8,525,768.63
  5. Step 5: Solve for x
    x = 8,525,768.63/4,256.74
  6. Step 6: Final answer
    x = 2,002.89

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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.