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Finding the Fourth Proportional to 3,032.37, 4,548.57 and 952.23

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Solution

The fourth proportional to 3,032.37, 4,548.57 and 952.23 is: 1,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.37 : 4,548.57 = 952.23 : x
  2. Step 2: Convert to fraction form
    3,032.37/4,548.57 = 952.23/x
  3. Step 3: Cross multiply
    3,032.37x = 4,548.57 × 952.23
  4. Step 4: Simplify right side
    3,032.37x = 4,331,284.81
  5. Step 5: Solve for x
    x = 4,331,284.81/3,032.37
  6. Step 6: Final answer
    x = 1,428.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.