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Finding the Fourth Proportional to 3,705.70, 5,558.55 and 1,514.42

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Solution

The fourth proportional to 3,705.70, 5,558.55 and 1,514.42 is: 2,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.70 : 5,558.55 = 1,514.42 : x
  2. Step 2: Convert to fraction form
    3,705.70/5,558.55 = 1,514.42/x
  3. Step 3: Cross multiply
    3,705.70x = 5,558.55 × 1,514.42
  4. Step 4: Simplify right side
    3,705.70x = 8,417,993.19
  5. Step 5: Solve for x
    x = 8,417,993.19/3,705.70
  6. Step 6: Final answer
    x = 2,271.64

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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.