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Finding the Fourth Proportional to 4,291.32, 5,885.07 and 4,066.68

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Solution

The fourth proportional to 4,291.32, 5,885.07 and 4,066.68 is: 5,577.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.32 : 5,885.07 = 4,066.68 : x
  2. Step 2: Convert to fraction form
    4,291.32/5,885.07 = 4,066.68/x
  3. Step 3: Cross multiply
    4,291.32x = 5,885.07 × 4,066.68
  4. Step 4: Simplify right side
    4,291.32x = 23,932,696.47
  5. Step 5: Solve for x
    x = 23,932,696.47/4,291.32
  6. Step 6: Final answer
    x = 5,577.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.