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Finding the Fourth Proportional to 6,080.40, 9,056.70 and 5,796

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Solution

The fourth proportional to 6,080.40, 9,056.70 and 5,796 is: 8,633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.40 : 9,056.70 = 5,796 : x
  2. Step 2: Convert to fraction form
    6,080.40/9,056.70 = 5,796/x
  3. Step 3: Cross multiply
    6,080.40x = 9,056.70 × 5,796
  4. Step 4: Simplify right side
    6,080.40x = 52,492,633.20
  5. Step 5: Solve for x
    x = 52,492,633.20/6,080.40
  6. Step 6: Final answer
    x = 8,633.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.