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Finding the Fourth Proportional to 5,071.06, 7,609.07 and 2,848.50

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Solution

The fourth proportional to 5,071.06, 7,609.07 and 2,848.50 is: 4,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.06 : 7,609.07 = 2,848.50 : x
  2. Step 2: Convert to fraction form
    5,071.06/7,609.07 = 2,848.50/x
  3. Step 3: Cross multiply
    5,071.06x = 7,609.07 × 2,848.50
  4. Step 4: Simplify right side
    5,071.06x = 21,674,435.90
  5. Step 5: Solve for x
    x = 21,674,435.90/5,071.06
  6. Step 6: Final answer
    x = 4,274.14

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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.