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Finding the Fourth Proportional to 4,617.60, 6,364.98 and 4,236.24

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Solution

The fourth proportional to 4,617.60, 6,364.98 and 4,236.24 is: 5,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.60 : 6,364.98 = 4,236.24 : x
  2. Step 2: Convert to fraction form
    4,617.60/6,364.98 = 4,236.24/x
  3. Step 3: Cross multiply
    4,617.60x = 6,364.98 × 4,236.24
  4. Step 4: Simplify right side
    4,617.60x = 26,963,582.88
  5. Step 5: Solve for x
    x = 26,963,582.88/4,617.60
  6. Step 6: Final answer
    x = 5,839.31

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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.