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Finding the Fourth Proportional to 3,514.84, 5,272.07 and 1,783.42

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Solution

The fourth proportional to 3,514.84, 5,272.07 and 1,783.42 is: 2,675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.84 : 5,272.07 = 1,783.42 : x
  2. Step 2: Convert to fraction form
    3,514.84/5,272.07 = 1,783.42/x
  3. Step 3: Cross multiply
    3,514.84x = 5,272.07 × 1,783.42
  4. Step 4: Simplify right side
    3,514.84x = 9,402,315.08
  5. Step 5: Solve for x
    x = 9,402,315.08/3,514.84
  6. Step 6: Final answer
    x = 2,675.03

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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.