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Finding the Fourth Proportional to 3,848.61, 5,782.16 and 2,464.63

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Solution

The fourth proportional to 3,848.61, 5,782.16 and 2,464.63 is: 3,702.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.61 : 5,782.16 = 2,464.63 : x
  2. Step 2: Convert to fraction form
    3,848.61/5,782.16 = 2,464.63/x
  3. Step 3: Cross multiply
    3,848.61x = 5,782.16 × 2,464.63
  4. Step 4: Simplify right side
    3,848.61x = 14,250,885.00
  5. Step 5: Solve for x
    x = 14,250,885.00/3,848.61
  6. Step 6: Final answer
    x = 3,702.87

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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.