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Finding the Fourth Proportional to 5,258.31, 7,256.81 and 2,900.46

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Solution

The fourth proportional to 5,258.31, 7,256.81 and 2,900.46 is: 4,002.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.31 : 7,256.81 = 2,900.46 : x
  2. Step 2: Convert to fraction form
    5,258.31/7,256.81 = 2,900.46/x
  3. Step 3: Cross multiply
    5,258.31x = 7,256.81 × 2,900.46
  4. Step 4: Simplify right side
    5,258.31x = 21,048,072.63
  5. Step 5: Solve for x
    x = 21,048,072.63/5,258.31
  6. Step 6: Final answer
    x = 4,002.82

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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.