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Finding the Fourth Proportional to 5,210.37, 7,182.81 and 3,715.68

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Solution

The fourth proportional to 5,210.37, 7,182.81 and 3,715.68 is: 5,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.37 : 7,182.81 = 3,715.68 : x
  2. Step 2: Convert to fraction form
    5,210.37/7,182.81 = 3,715.68/x
  3. Step 3: Cross multiply
    5,210.37x = 7,182.81 × 3,715.68
  4. Step 4: Simplify right side
    5,210.37x = 26,689,023.46
  5. Step 5: Solve for x
    x = 26,689,023.46/5,210.37
  6. Step 6: Final answer
    x = 5,122.29

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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.