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Finding the Fourth Proportional to 3,116.34, 4,674.60 and 1,064.34

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Solution

The fourth proportional to 3,116.34, 4,674.60 and 1,064.34 is: 1,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.34 : 4,674.60 = 1,064.34 : x
  2. Step 2: Convert to fraction form
    3,116.34/4,674.60 = 1,064.34/x
  3. Step 3: Cross multiply
    3,116.34x = 4,674.60 × 1,064.34
  4. Step 4: Simplify right side
    3,116.34x = 4,975,363.76
  5. Step 5: Solve for x
    x = 4,975,363.76/3,116.34
  6. Step 6: Final answer
    x = 1,596.54

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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.