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Finding the Fourth Proportional to 3,506.86, 5,261.46 and 1,559.08

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Solution

The fourth proportional to 3,506.86, 5,261.46 and 1,559.08 is: 2,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.86 : 5,261.46 = 1,559.08 : x
  2. Step 2: Convert to fraction form
    3,506.86/5,261.46 = 1,559.08/x
  3. Step 3: Cross multiply
    3,506.86x = 5,261.46 × 1,559.08
  4. Step 4: Simplify right side
    3,506.86x = 8,203,037.06
  5. Step 5: Solve for x
    x = 8,203,037.06/3,506.86
  6. Step 6: Final answer
    x = 2,339.14

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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.