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Finding the Fourth Proportional to 3,507.84, 5,260.26 and 1,315.05

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Solution

The fourth proportional to 3,507.84, 5,260.26 and 1,315.05 is: 1,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.84 : 5,260.26 = 1,315.05 : x
  2. Step 2: Convert to fraction form
    3,507.84/5,260.26 = 1,315.05/x
  3. Step 3: Cross multiply
    3,507.84x = 5,260.26 × 1,315.05
  4. Step 4: Simplify right side
    3,507.84x = 6,917,504.91
  5. Step 5: Solve for x
    x = 6,917,504.91/3,507.84
  6. Step 6: Final answer
    x = 1,972.01

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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.