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Finding the Fourth Proportional to 4,298.18, 6,447 and 2,565.50

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Solution

The fourth proportional to 4,298.18, 6,447 and 2,565.50 is: 3,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.18 : 6,447 = 2,565.50 : x
  2. Step 2: Convert to fraction form
    4,298.18/6,447 = 2,565.50/x
  3. Step 3: Cross multiply
    4,298.18x = 6,447 × 2,565.50
  4. Step 4: Simplify right side
    4,298.18x = 16,539,778.50
  5. Step 5: Solve for x
    x = 16,539,778.50/4,298.18
  6. Step 6: Final answer
    x = 3,848.09

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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.