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Finding the Fourth Proportional to 5,202.40, 7,799.95 and 1,915.07

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Solution

The fourth proportional to 5,202.40, 7,799.95 and 1,915.07 is: 2,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.40 : 7,799.95 = 1,915.07 : x
  2. Step 2: Convert to fraction form
    5,202.40/7,799.95 = 1,915.07/x
  3. Step 3: Cross multiply
    5,202.40x = 7,799.95 × 1,915.07
  4. Step 4: Simplify right side
    5,202.40x = 14,937,406.46
  5. Step 5: Solve for x
    x = 14,937,406.46/5,202.40
  6. Step 6: Final answer
    x = 2,871.25

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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.