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Finding the Fourth Proportional to 4,626.58, 6,939.93 and 1,506.60

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Solution

The fourth proportional to 4,626.58, 6,939.93 and 1,506.60 is: 2,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.58 : 6,939.93 = 1,506.60 : x
  2. Step 2: Convert to fraction form
    4,626.58/6,939.93 = 1,506.60/x
  3. Step 3: Cross multiply
    4,626.58x = 6,939.93 × 1,506.60
  4. Step 4: Simplify right side
    4,626.58x = 10,455,698.54
  5. Step 5: Solve for x
    x = 10,455,698.54/4,626.58
  6. Step 6: Final answer
    x = 2,259.92

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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.