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Finding the Fourth Proportional to 3,678.65, 5,514.87 and 1,597.08

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Solution

The fourth proportional to 3,678.65, 5,514.87 and 1,597.08 is: 2,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.65 : 5,514.87 = 1,597.08 : x
  2. Step 2: Convert to fraction form
    3,678.65/5,514.87 = 1,597.08/x
  3. Step 3: Cross multiply
    3,678.65x = 5,514.87 × 1,597.08
  4. Step 4: Simplify right side
    3,678.65x = 8,807,703.27
  5. Step 5: Solve for x
    x = 8,807,703.27/3,678.65
  6. Step 6: Final answer
    x = 2,394.27

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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.