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Finding the Fourth Proportional to 4,626.53, 6,938.16 and 1,505.96

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Solution

The fourth proportional to 4,626.53, 6,938.16 and 1,505.96 is: 2,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.53 : 6,938.16 = 1,505.96 : x
  2. Step 2: Convert to fraction form
    4,626.53/6,938.16 = 1,505.96/x
  3. Step 3: Cross multiply
    4,626.53x = 6,938.16 × 1,505.96
  4. Step 4: Simplify right side
    4,626.53x = 10,448,581.35
  5. Step 5: Solve for x
    x = 10,448,581.35/4,626.53
  6. Step 6: Final answer
    x = 2,258.40

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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.