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Finding the Fourth Proportional to 4,582.40, 6,334.08 and 4,219.52

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Solution

The fourth proportional to 4,582.40, 6,334.08 and 4,219.52 is: 5,832.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.40 : 6,334.08 = 4,219.52 : x
  2. Step 2: Convert to fraction form
    4,582.40/6,334.08 = 4,219.52/x
  3. Step 3: Cross multiply
    4,582.40x = 6,334.08 × 4,219.52
  4. Step 4: Simplify right side
    4,582.40x = 26,726,777.24
  5. Step 5: Solve for x
    x = 26,726,777.24/4,582.40
  6. Step 6: Final answer
    x = 5,832.48

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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.