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Finding the Fourth Proportional to 5,210.36, 7,810.02 and 3,521.81

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Solution

The fourth proportional to 5,210.36, 7,810.02 and 3,521.81 is: 5,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.36 : 7,810.02 = 3,521.81 : x
  2. Step 2: Convert to fraction form
    5,210.36/7,810.02 = 3,521.81/x
  3. Step 3: Cross multiply
    5,210.36x = 7,810.02 × 3,521.81
  4. Step 4: Simplify right side
    5,210.36x = 27,505,426.06
  5. Step 5: Solve for x
    x = 27,505,426.06/5,210.36
  6. Step 6: Final answer
    x = 5,278.99

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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.