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Finding the Fourth Proportional to 3,457.80, 5,187.03 and 1,118.16

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Solution

The fourth proportional to 3,457.80, 5,187.03 and 1,118.16 is: 1,677.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.80 : 5,187.03 = 1,118.16 : x
  2. Step 2: Convert to fraction form
    3,457.80/5,187.03 = 1,118.16/x
  3. Step 3: Cross multiply
    3,457.80x = 5,187.03 × 1,118.16
  4. Step 4: Simplify right side
    3,457.80x = 5,799,929.46
  5. Step 5: Solve for x
    x = 5,799,929.46/3,457.80
  6. Step 6: Final answer
    x = 1,677.35

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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.