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Finding the Fourth Proportional to 5,662.32, 7,808.52 and 4,486.20

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Solution

The fourth proportional to 5,662.32, 7,808.52 and 4,486.20 is: 6,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.32 : 7,808.52 = 4,486.20 : x
  2. Step 2: Convert to fraction form
    5,662.32/7,808.52 = 4,486.20/x
  3. Step 3: Cross multiply
    5,662.32x = 7,808.52 × 4,486.20
  4. Step 4: Simplify right side
    5,662.32x = 35,030,582.42
  5. Step 5: Solve for x
    x = 35,030,582.42/5,662.32
  6. Step 6: Final answer
    x = 6,186.61

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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.