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Finding the Fourth Proportional to 5,242.40, 7,858.56 and 1,954.16

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Solution

The fourth proportional to 5,242.40, 7,858.56 and 1,954.16 is: 2,929.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.40 : 7,858.56 = 1,954.16 : x
  2. Step 2: Convert to fraction form
    5,242.40/7,858.56 = 1,954.16/x
  3. Step 3: Cross multiply
    5,242.40x = 7,858.56 × 1,954.16
  4. Step 4: Simplify right side
    5,242.40x = 15,356,883.61
  5. Step 5: Solve for x
    x = 15,356,883.61/5,242.40
  6. Step 6: Final answer
    x = 2,929.36

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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.