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Finding the Fourth Proportional to 5,980.95, 8,970.33 and 2,282.37

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Solution

The fourth proportional to 5,980.95, 8,970.33 and 2,282.37 is: 3,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.95 : 8,970.33 = 2,282.37 : x
  2. Step 2: Convert to fraction form
    5,980.95/8,970.33 = 2,282.37/x
  3. Step 3: Cross multiply
    5,980.95x = 8,970.33 × 2,282.37
  4. Step 4: Simplify right side
    5,980.95x = 20,473,612.08
  5. Step 5: Solve for x
    x = 20,473,612.08/5,980.95
  6. Step 6: Final answer
    x = 3,423.14

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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.