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Finding the Fourth Proportional to 3,490.51, 5,237.16 and 1,301.08

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Solution

The fourth proportional to 3,490.51, 5,237.16 and 1,301.08 is: 1,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.51 : 5,237.16 = 1,301.08 : x
  2. Step 2: Convert to fraction form
    3,490.51/5,237.16 = 1,301.08/x
  3. Step 3: Cross multiply
    3,490.51x = 5,237.16 × 1,301.08
  4. Step 4: Simplify right side
    3,490.51x = 6,813,964.13
  5. Step 5: Solve for x
    x = 6,813,964.13/3,490.51
  6. Step 6: Final answer
    x = 1,952.14

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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.