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Finding the Fourth Proportional to 3,506.70, 5,261.04 and 1,559.34

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Solution

The fourth proportional to 3,506.70, 5,261.04 and 1,559.34 is: 2,339.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.70 : 5,261.04 = 1,559.34 : x
  2. Step 2: Convert to fraction form
    3,506.70/5,261.04 = 1,559.34/x
  3. Step 3: Cross multiply
    3,506.70x = 5,261.04 × 1,559.34
  4. Step 4: Simplify right side
    3,506.70x = 8,203,750.11
  5. Step 5: Solve for x
    x = 8,203,750.11/3,506.70
  6. Step 6: Final answer
    x = 2,339.45

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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.