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Finding the Fourth Proportional to 5,314.95, 7,970.40 and 2,391.30

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Solution

The fourth proportional to 5,314.95, 7,970.40 and 2,391.30 is: 3,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.95 : 7,970.40 = 2,391.30 : x
  2. Step 2: Convert to fraction form
    5,314.95/7,970.40 = 2,391.30/x
  3. Step 3: Cross multiply
    5,314.95x = 7,970.40 × 2,391.30
  4. Step 4: Simplify right side
    5,314.95x = 19,059,617.52
  5. Step 5: Solve for x
    x = 19,059,617.52/5,314.95
  6. Step 6: Final answer
    x = 3,586.04

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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.