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Finding the Fourth Proportional to 4,852.35, 7,258.28 and 4,419.81

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Solution

The fourth proportional to 4,852.35, 7,258.28 and 4,419.81 is: 6,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.35 : 7,258.28 = 4,419.81 : x
  2. Step 2: Convert to fraction form
    4,852.35/7,258.28 = 4,419.81/x
  3. Step 3: Cross multiply
    4,852.35x = 7,258.28 × 4,419.81
  4. Step 4: Simplify right side
    4,852.35x = 32,080,196.43
  5. Step 5: Solve for x
    x = 32,080,196.43/4,852.35
  6. Step 6: Final answer
    x = 6,611.27

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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.