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Finding the Fourth Proportional to 5,258.88, 7,887.04 and 1,972

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Solution

The fourth proportional to 5,258.88, 7,887.04 and 1,972 is: 2,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.88 : 7,887.04 = 1,972 : x
  2. Step 2: Convert to fraction form
    5,258.88/7,887.04 = 1,972/x
  3. Step 3: Cross multiply
    5,258.88x = 7,887.04 × 1,972
  4. Step 4: Simplify right side
    5,258.88x = 15,553,242.88
  5. Step 5: Solve for x
    x = 15,553,242.88/5,258.88
  6. Step 6: Final answer
    x = 2,957.52

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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.