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Finding the Fourth Proportional to 5,265.95, 7,900.50 and 1,568.30

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Solution

The fourth proportional to 5,265.95, 7,900.50 and 1,568.30 is: 2,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.95 : 7,900.50 = 1,568.30 : x
  2. Step 2: Convert to fraction form
    5,265.95/7,900.50 = 1,568.30/x
  3. Step 3: Cross multiply
    5,265.95x = 7,900.50 × 1,568.30
  4. Step 4: Simplify right side
    5,265.95x = 12,390,320.53
  5. Step 5: Solve for x
    x = 12,390,320.53/5,265.95
  6. Step 6: Final answer
    x = 2,352.91

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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.