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Finding the Fourth Proportional to 3,502.70, 5,254.05 and 3,178.70

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Solution

The fourth proportional to 3,502.70, 5,254.05 and 3,178.70 is: 4,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.70 : 5,254.05 = 3,178.70 : x
  2. Step 2: Convert to fraction form
    3,502.70/5,254.05 = 3,178.70/x
  3. Step 3: Cross multiply
    3,502.70x = 5,254.05 × 3,178.70
  4. Step 4: Simplify right side
    3,502.70x = 16,701,048.74
  5. Step 5: Solve for x
    x = 16,701,048.74/3,502.70
  6. Step 6: Final answer
    x = 4,768.05

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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.