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Finding the Fourth Proportional to 3,880.56, 5,820.95 and 1,283.50

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Solution

The fourth proportional to 3,880.56, 5,820.95 and 1,283.50 is: 1,925.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.56 : 5,820.95 = 1,283.50 : x
  2. Step 2: Convert to fraction form
    3,880.56/5,820.95 = 1,283.50/x
  3. Step 3: Cross multiply
    3,880.56x = 5,820.95 × 1,283.50
  4. Step 4: Simplify right side
    3,880.56x = 7,471,189.33
  5. Step 5: Solve for x
    x = 7,471,189.33/3,880.56
  6. Step 6: Final answer
    x = 1,925.29

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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.