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Finding the Fourth Proportional to 5,739.76, 7,905.78 and 4,410.92

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Solution

The fourth proportional to 5,739.76, 7,905.78 and 4,410.92 is: 6,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.76 : 7,905.78 = 4,410.92 : x
  2. Step 2: Convert to fraction form
    5,739.76/7,905.78 = 4,410.92/x
  3. Step 3: Cross multiply
    5,739.76x = 7,905.78 × 4,410.92
  4. Step 4: Simplify right side
    5,739.76x = 34,871,763.12
  5. Step 5: Solve for x
    x = 34,871,763.12/5,739.76
  6. Step 6: Final answer
    x = 6,075.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.