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Finding the Fourth Proportional to 3,506.26, 5,259.52 and 1,041.02

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Solution

The fourth proportional to 3,506.26, 5,259.52 and 1,041.02 is: 1,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.26 : 5,259.52 = 1,041.02 : x
  2. Step 2: Convert to fraction form
    3,506.26/5,259.52 = 1,041.02/x
  3. Step 3: Cross multiply
    3,506.26x = 5,259.52 × 1,041.02
  4. Step 4: Simplify right side
    3,506.26x = 5,475,265.51
  5. Step 5: Solve for x
    x = 5,475,265.51/3,506.26
  6. Step 6: Final answer
    x = 1,561.57

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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.