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Finding the Fourth Proportional to 3,507.26, 5,261.02 and 1,042.02

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Solution

The fourth proportional to 3,507.26, 5,261.02 and 1,042.02 is: 1,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.26 : 5,261.02 = 1,042.02 : x
  2. Step 2: Convert to fraction form
    3,507.26/5,261.02 = 1,042.02/x
  3. Step 3: Cross multiply
    3,507.26x = 5,261.02 × 1,042.02
  4. Step 4: Simplify right side
    3,507.26x = 5,482,088.06
  5. Step 5: Solve for x
    x = 5,482,088.06/3,507.26
  6. Step 6: Final answer
    x = 1,563.07

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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.