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Finding the Fourth Proportional to 6,590.16, 9,094.26 and 3,679.42

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Solution

The fourth proportional to 6,590.16, 9,094.26 and 3,679.42 is: 5,077.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.16 : 9,094.26 = 3,679.42 : x
  2. Step 2: Convert to fraction form
    6,590.16/9,094.26 = 3,679.42/x
  3. Step 3: Cross multiply
    6,590.16x = 9,094.26 × 3,679.42
  4. Step 4: Simplify right side
    6,590.16x = 33,461,602.13
  5. Step 5: Solve for x
    x = 33,461,602.13/6,590.16
  6. Step 6: Final answer
    x = 5,077.51

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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.