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Finding the Fourth Proportional to 5,904.29, 8,141.16 and 4,409.69

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Solution

The fourth proportional to 5,904.29, 8,141.16 and 4,409.69 is: 6,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,904.29 : 8,141.16 = 4,409.69 : x
  2. Step 2: Convert to fraction form
    5,904.29/8,141.16 = 4,409.69/x
  3. Step 3: Cross multiply
    5,904.29x = 8,141.16 × 4,409.69
  4. Step 4: Simplify right side
    5,904.29x = 35,899,967.67
  5. Step 5: Solve for x
    x = 35,899,967.67/5,904.29
  6. Step 6: Final answer
    x = 6,080.32

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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.