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Finding the Fourth Proportional to 4,362.48, 6,499.60 and 4,142.16

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Solution

The fourth proportional to 4,362.48, 6,499.60 and 4,142.16 is: 6,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.48 : 6,499.60 = 4,142.16 : x
  2. Step 2: Convert to fraction form
    4,362.48/6,499.60 = 4,142.16/x
  3. Step 3: Cross multiply
    4,362.48x = 6,499.60 × 4,142.16
  4. Step 4: Simplify right side
    4,362.48x = 26,922,383.14
  5. Step 5: Solve for x
    x = 26,922,383.14/4,362.48
  6. Step 6: Final answer
    x = 6,171.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.