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Finding the Fourth Proportional to 4,626.59, 6,940.31 and 1,506.47

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Solution

The fourth proportional to 4,626.59, 6,940.31 and 1,506.47 is: 2,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.59 : 6,940.31 = 1,506.47 : x
  2. Step 2: Convert to fraction form
    4,626.59/6,940.31 = 1,506.47/x
  3. Step 3: Cross multiply
    4,626.59x = 6,940.31 × 1,506.47
  4. Step 4: Simplify right side
    4,626.59x = 10,455,326.57
  5. Step 5: Solve for x
    x = 10,455,326.57/4,626.59
  6. Step 6: Final answer
    x = 2,259.84

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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.