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Finding the Fourth Proportional to 5,283.29, 7,292.42 and 3,160.28

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Solution

The fourth proportional to 5,283.29, 7,292.42 and 3,160.28 is: 4,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.29 : 7,292.42 = 3,160.28 : x
  2. Step 2: Convert to fraction form
    5,283.29/7,292.42 = 3,160.28/x
  3. Step 3: Cross multiply
    5,283.29x = 7,292.42 × 3,160.28
  4. Step 4: Simplify right side
    5,283.29x = 23,046,036.81
  5. Step 5: Solve for x
    x = 23,046,036.81/5,283.29
  6. Step 6: Final answer
    x = 4,362.07

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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.