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Finding the Fourth Proportional to 5,258.23, 7,885.04 and 1,969.01

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Solution

The fourth proportional to 5,258.23, 7,885.04 and 1,969.01 is: 2,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.23 : 7,885.04 = 1,969.01 : x
  2. Step 2: Convert to fraction form
    5,258.23/7,885.04 = 1,969.01/x
  3. Step 3: Cross multiply
    5,258.23x = 7,885.04 × 1,969.01
  4. Step 4: Simplify right side
    5,258.23x = 15,525,747.26
  5. Step 5: Solve for x
    x = 15,525,747.26/5,258.23
  6. Step 6: Final answer
    x = 2,952.66

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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.