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Finding the Fourth Proportional to 3,848.74, 5,312.64 and 2,255.86

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Solution

The fourth proportional to 3,848.74, 5,312.64 and 2,255.86 is: 3,113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.74 : 5,312.64 = 2,255.86 : x
  2. Step 2: Convert to fraction form
    3,848.74/5,312.64 = 2,255.86/x
  3. Step 3: Cross multiply
    3,848.74x = 5,312.64 × 2,255.86
  4. Step 4: Simplify right side
    3,848.74x = 11,984,572.07
  5. Step 5: Solve for x
    x = 11,984,572.07/3,848.74
  6. Step 6: Final answer
    x = 3,113.89

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