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Finding the Fourth Proportional to 5,258.06, 7,886.82 and 1,970.90

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Solution

The fourth proportional to 5,258.06, 7,886.82 and 1,970.90 is: 2,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.06 : 7,886.82 = 1,970.90 : x
  2. Step 2: Convert to fraction form
    5,258.06/7,886.82 = 1,970.90/x
  3. Step 3: Cross multiply
    5,258.06x = 7,886.82 × 1,970.90
  4. Step 4: Simplify right side
    5,258.06x = 15,544,133.54
  5. Step 5: Solve for x
    x = 15,544,133.54/5,258.06
  6. Step 6: Final answer
    x = 2,956.25

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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.