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Finding the Fourth Proportional to 3,675.84, 5,514.36 and 1,210.68

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Solution

The fourth proportional to 3,675.84, 5,514.36 and 1,210.68 is: 1,816.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.84 : 5,514.36 = 1,210.68 : x
  2. Step 2: Convert to fraction form
    3,675.84/5,514.36 = 1,210.68/x
  3. Step 3: Cross multiply
    3,675.84x = 5,514.36 × 1,210.68
  4. Step 4: Simplify right side
    3,675.84x = 6,676,125.36
  5. Step 5: Solve for x
    x = 6,676,125.36/3,675.84
  6. Step 6: Final answer
    x = 1,816.22

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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.