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Finding the Fourth Proportional to 4,153.60, 5,730.53 and 2,662.34

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Solution

The fourth proportional to 4,153.60, 5,730.53 and 2,662.34 is: 3,673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.60 : 5,730.53 = 2,662.34 : x
  2. Step 2: Convert to fraction form
    4,153.60/5,730.53 = 2,662.34/x
  3. Step 3: Cross multiply
    4,153.60x = 5,730.53 × 2,662.34
  4. Step 4: Simplify right side
    4,153.60x = 15,256,577.28
  5. Step 5: Solve for x
    x = 15,256,577.28/4,153.60
  6. Step 6: Final answer
    x = 3,673.10

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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.