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Finding the Fourth Proportional to 3,140.95, 4,712.58 and 1,292.21

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Solution

The fourth proportional to 3,140.95, 4,712.58 and 1,292.21 is: 1,938.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.95 : 4,712.58 = 1,292.21 : x
  2. Step 2: Convert to fraction form
    3,140.95/4,712.58 = 1,292.21/x
  3. Step 3: Cross multiply
    3,140.95x = 4,712.58 × 1,292.21
  4. Step 4: Simplify right side
    3,140.95x = 6,089,643.00
  5. Step 5: Solve for x
    x = 6,089,643.00/3,140.95
  6. Step 6: Final answer
    x = 1,938.79

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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.