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Finding the Fourth Proportional to 4,258.47, 6,389.53 and 3,895.80

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Solution

The fourth proportional to 4,258.47, 6,389.53 and 3,895.80 is: 5,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,258.47 : 6,389.53 = 3,895.80 : x
  2. Step 2: Convert to fraction form
    4,258.47/6,389.53 = 3,895.80/x
  3. Step 3: Cross multiply
    4,258.47x = 6,389.53 × 3,895.80
  4. Step 4: Simplify right side
    4,258.47x = 24,892,319.19
  5. Step 5: Solve for x
    x = 24,892,319.19/4,258.47
  6. Step 6: Final answer
    x = 5,845.36

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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.