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Finding the Fourth Proportional to 5,258.21, 7,848.81 and 4,635.45

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Solution

The fourth proportional to 5,258.21, 7,848.81 and 4,635.45 is: 6,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.21 : 7,848.81 = 4,635.45 : x
  2. Step 2: Convert to fraction form
    5,258.21/7,848.81 = 4,635.45/x
  3. Step 3: Cross multiply
    5,258.21x = 7,848.81 × 4,635.45
  4. Step 4: Simplify right side
    5,258.21x = 36,382,766.31
  5. Step 5: Solve for x
    x = 36,382,766.31/5,258.21
  6. Step 6: Final answer
    x = 6,919.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.