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Finding the Fourth Proportional to 5,152.70, 7,106.26 and 3,262.16

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Solution

The fourth proportional to 5,152.70, 7,106.26 and 3,262.16 is: 4,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.70 : 7,106.26 = 3,262.16 : x
  2. Step 2: Convert to fraction form
    5,152.70/7,106.26 = 3,262.16/x
  3. Step 3: Cross multiply
    5,152.70x = 7,106.26 × 3,262.16
  4. Step 4: Simplify right side
    5,152.70x = 23,181,705.28
  5. Step 5: Solve for x
    x = 23,181,705.28/5,152.70
  6. Step 6: Final answer
    x = 4,498.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.