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Finding the Fourth Proportional to 4,193.76, 5,788.60 and 3,360.28

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Solution

The fourth proportional to 4,193.76, 5,788.60 and 3,360.28 is: 4,638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.76 : 5,788.60 = 3,360.28 : x
  2. Step 2: Convert to fraction form
    4,193.76/5,788.60 = 3,360.28/x
  3. Step 3: Cross multiply
    4,193.76x = 5,788.60 × 3,360.28
  4. Step 4: Simplify right side
    4,193.76x = 19,451,316.81
  5. Step 5: Solve for x
    x = 19,451,316.81/4,193.76
  6. Step 6: Final answer
    x = 4,638.16

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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.