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Finding the Fourth Proportional to 4,495.60, 6,743.89 and 1,724.63

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Solution

The fourth proportional to 4,495.60, 6,743.89 and 1,724.63 is: 2,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.60 : 6,743.89 = 1,724.63 : x
  2. Step 2: Convert to fraction form
    4,495.60/6,743.89 = 1,724.63/x
  3. Step 3: Cross multiply
    4,495.60x = 6,743.89 × 1,724.63
  4. Step 4: Simplify right side
    4,495.60x = 11,630,683.45
  5. Step 5: Solve for x
    x = 11,630,683.45/4,495.60
  6. Step 6: Final answer
    x = 2,587.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.