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Finding the Fourth Proportional to 4,559.34, 6,292.08 and 2,569.86

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Solution

The fourth proportional to 4,559.34, 6,292.08 and 2,569.86 is: 3,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.34 : 6,292.08 = 2,569.86 : x
  2. Step 2: Convert to fraction form
    4,559.34/6,292.08 = 2,569.86/x
  3. Step 3: Cross multiply
    4,559.34x = 6,292.08 × 2,569.86
  4. Step 4: Simplify right side
    4,559.34x = 16,169,764.71
  5. Step 5: Solve for x
    x = 16,169,764.71/4,559.34
  6. Step 6: Final answer
    x = 3,546.51

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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.