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Finding the Fourth Proportional to 6,582.30, 9,068.10 and 4,589.22

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Solution

The fourth proportional to 6,582.30, 9,068.10 and 4,589.22 is: 6,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.30 : 9,068.10 = 4,589.22 : x
  2. Step 2: Convert to fraction form
    6,582.30/9,068.10 = 4,589.22/x
  3. Step 3: Cross multiply
    6,582.30x = 9,068.10 × 4,589.22
  4. Step 4: Simplify right side
    6,582.30x = 41,615,505.88
  5. Step 5: Solve for x
    x = 41,615,505.88/6,582.30
  6. Step 6: Final answer
    x = 6,322.34

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