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Finding the Fourth Proportional to 5,728.16, 7,905.28 and 3,210.14

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Solution

The fourth proportional to 5,728.16, 7,905.28 and 3,210.14 is: 4,430.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.16 : 7,905.28 = 3,210.14 : x
  2. Step 2: Convert to fraction form
    5,728.16/7,905.28 = 3,210.14/x
  3. Step 3: Cross multiply
    5,728.16x = 7,905.28 × 3,210.14
  4. Step 4: Simplify right side
    5,728.16x = 25,377,055.54
  5. Step 5: Solve for x
    x = 25,377,055.54/5,728.16
  6. Step 6: Final answer
    x = 4,430.23

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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.