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Finding the Fourth Proportional to 5,312.94, 7,969.41 and 1,802.96

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Solution

The fourth proportional to 5,312.94, 7,969.41 and 1,802.96 is: 2,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.94 : 7,969.41 = 1,802.96 : x
  2. Step 2: Convert to fraction form
    5,312.94/7,969.41 = 1,802.96/x
  3. Step 3: Cross multiply
    5,312.94x = 7,969.41 × 1,802.96
  4. Step 4: Simplify right side
    5,312.94x = 14,368,522.56
  5. Step 5: Solve for x
    x = 14,368,522.56/5,312.94
  6. Step 6: Final answer
    x = 2,704.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.