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Finding the Fourth Proportional to 5,195.04, 7,794 and 2,888.16

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Solution

The fourth proportional to 5,195.04, 7,794 and 2,888.16 is: 4,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.04 : 7,794 = 2,888.16 : x
  2. Step 2: Convert to fraction form
    5,195.04/7,794 = 2,888.16/x
  3. Step 3: Cross multiply
    5,195.04x = 7,794 × 2,888.16
  4. Step 4: Simplify right side
    5,195.04x = 22,510,319.04
  5. Step 5: Solve for x
    x = 22,510,319.04/5,195.04
  6. Step 6: Final answer
    x = 4,333.04

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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.