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Finding the Fourth Proportional to 5,828.96, 8,041.66 and 3,840.48

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Solution

The fourth proportional to 5,828.96, 8,041.66 and 3,840.48 is: 5,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.96 : 8,041.66 = 3,840.48 : x
  2. Step 2: Convert to fraction form
    5,828.96/8,041.66 = 3,840.48/x
  3. Step 3: Cross multiply
    5,828.96x = 8,041.66 × 3,840.48
  4. Step 4: Simplify right side
    5,828.96x = 30,883,834.40
  5. Step 5: Solve for x
    x = 30,883,834.40/5,828.96
  6. Step 6: Final answer
    x = 5,298.34

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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.