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Finding the Fourth Proportional to 4,558.66, 6,291.54 and 2,569.84

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Solution

The fourth proportional to 4,558.66, 6,291.54 and 2,569.84 is: 3,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,558.66 : 6,291.54 = 2,569.84 : x
  2. Step 2: Convert to fraction form
    4,558.66/6,291.54 = 2,569.84/x
  3. Step 3: Cross multiply
    4,558.66x = 6,291.54 × 2,569.84
  4. Step 4: Simplify right side
    4,558.66x = 16,168,235.42
  5. Step 5: Solve for x
    x = 16,168,235.42/4,558.66
  6. Step 6: Final answer
    x = 3,546.71

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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.