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Finding the Fourth Proportional to 4,582.09, 6,323.24 and 2,592.63

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Solution

The fourth proportional to 4,582.09, 6,323.24 and 2,592.63 is: 3,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.09 : 6,323.24 = 2,592.63 : x
  2. Step 2: Convert to fraction form
    4,582.09/6,323.24 = 2,592.63/x
  3. Step 3: Cross multiply
    4,582.09x = 6,323.24 × 2,592.63
  4. Step 4: Simplify right side
    4,582.09x = 16,393,821.72
  5. Step 5: Solve for x
    x = 16,393,821.72/4,582.09
  6. Step 6: Final answer
    x = 3,577.80

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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.