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Finding the Fourth Proportional to 4,870.26, 7,306 and 1,583.70

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Solution

The fourth proportional to 4,870.26, 7,306 and 1,583.70 is: 2,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.26 : 7,306 = 1,583.70 : x
  2. Step 2: Convert to fraction form
    4,870.26/7,306 = 1,583.70/x
  3. Step 3: Cross multiply
    4,870.26x = 7,306 × 1,583.70
  4. Step 4: Simplify right side
    4,870.26x = 11,570,512.20
  5. Step 5: Solve for x
    x = 11,570,512.20/4,870.26
  6. Step 6: Final answer
    x = 2,375.75

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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.