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Finding the Fourth Proportional to 4,838.37, 7,258.50 and 1,551.21

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Solution

The fourth proportional to 4,838.37, 7,258.50 and 1,551.21 is: 2,327.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,838.37 : 7,258.50 = 1,551.21 : x
  2. Step 2: Convert to fraction form
    4,838.37/7,258.50 = 1,551.21/x
  3. Step 3: Cross multiply
    4,838.37x = 7,258.50 × 1,551.21
  4. Step 4: Simplify right side
    4,838.37x = 11,259,457.79
  5. Step 5: Solve for x
    x = 11,259,457.79/4,838.37
  6. Step 6: Final answer
    x = 2,327.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.