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Finding the Fourth Proportional to 4,258.37, 5,878.07 and 2,466.65

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Solution

The fourth proportional to 4,258.37, 5,878.07 and 2,466.65 is: 3,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.37 : 5,878.07 = 2,466.65 : x
  2. Step 2: Convert to fraction form
    4,258.37/5,878.07 = 2,466.65/x
  3. Step 3: Cross multiply
    4,258.37x = 5,878.07 × 2,466.65
  4. Step 4: Simplify right side
    4,258.37x = 14,499,152.98
  5. Step 5: Solve for x
    x = 14,499,152.98/4,258.37
  6. Step 6: Final answer
    x = 3,404.86

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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.