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Finding the Fourth Proportional to 4,626.77, 6,938.33 and 1,506.01

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Solution

The fourth proportional to 4,626.77, 6,938.33 and 1,506.01 is: 2,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.77 : 6,938.33 = 1,506.01 : x
  2. Step 2: Convert to fraction form
    4,626.77/6,938.33 = 1,506.01/x
  3. Step 3: Cross multiply
    4,626.77x = 6,938.33 × 1,506.01
  4. Step 4: Simplify right side
    4,626.77x = 10,449,182.50
  5. Step 5: Solve for x
    x = 10,449,182.50/4,626.77
  6. Step 6: Final answer
    x = 2,258.42

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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.