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Finding the Fourth Proportional to 4,857.32, 7,281.66 and 2,258.84

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Solution

The fourth proportional to 4,857.32, 7,281.66 and 2,258.84 is: 3,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.32 : 7,281.66 = 2,258.84 : x
  2. Step 2: Convert to fraction form
    4,857.32/7,281.66 = 2,258.84/x
  3. Step 3: Cross multiply
    4,857.32x = 7,281.66 × 2,258.84
  4. Step 4: Simplify right side
    4,857.32x = 16,448,104.87
  5. Step 5: Solve for x
    x = 16,448,104.87/4,857.32
  6. Step 6: Final answer
    x = 3,386.25

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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.