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Finding the Fourth Proportional to 3,312.70, 4,969.03 and 847.52

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Solution

The fourth proportional to 3,312.70, 4,969.03 and 847.52 is: 1,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.70 : 4,969.03 = 847.52 : x
  2. Step 2: Convert to fraction form
    3,312.70/4,969.03 = 847.52/x
  3. Step 3: Cross multiply
    3,312.70x = 4,969.03 × 847.52
  4. Step 4: Simplify right side
    3,312.70x = 4,211,323.22
  5. Step 5: Solve for x
    x = 4,211,323.22/3,312.70
  6. Step 6: Final answer
    x = 1,271.27

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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.