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Finding the Fourth Proportional to 5,971.95, 8,955.50 and 2,684.16

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Solution

The fourth proportional to 5,971.95, 8,955.50 and 2,684.16 is: 4,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.95 : 8,955.50 = 2,684.16 : x
  2. Step 2: Convert to fraction form
    5,971.95/8,955.50 = 2,684.16/x
  3. Step 3: Cross multiply
    5,971.95x = 8,955.50 × 2,684.16
  4. Step 4: Simplify right side
    5,971.95x = 24,037,981.46
  5. Step 5: Solve for x
    x = 24,037,981.46/5,971.95
  6. Step 6: Final answer
    x = 4,025.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.