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Finding the Fourth Proportional to 4,571.60, 6,309 and 2,582.24

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Solution

The fourth proportional to 4,571.60, 6,309 and 2,582.24 is: 3,563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.60 : 6,309 = 2,582.24 : x
  2. Step 2: Convert to fraction form
    4,571.60/6,309 = 2,582.24/x
  3. Step 3: Cross multiply
    4,571.60x = 6,309 × 2,582.24
  4. Step 4: Simplify right side
    4,571.60x = 16,291,352.16
  5. Step 5: Solve for x
    x = 16,291,352.16/4,571.60
  6. Step 6: Final answer
    x = 3,563.60

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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.