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Finding the Fourth Proportional to 4,701.70, 7,047.08 and 3,778.30

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Solution

The fourth proportional to 4,701.70, 7,047.08 and 3,778.30 is: 5,663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.70 : 7,047.08 = 3,778.30 : x
  2. Step 2: Convert to fraction form
    4,701.70/7,047.08 = 3,778.30/x
  3. Step 3: Cross multiply
    4,701.70x = 7,047.08 × 3,778.30
  4. Step 4: Simplify right side
    4,701.70x = 26,625,928.24
  5. Step 5: Solve for x
    x = 26,625,928.24/4,701.70
  6. Step 6: Final answer
    x = 5,663.05

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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.