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Finding the Fourth Proportional to 5,806.46, 8,709.80 and 1,423.95

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Solution

The fourth proportional to 5,806.46, 8,709.80 and 1,423.95 is: 2,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.46 : 8,709.80 = 1,423.95 : x
  2. Step 2: Convert to fraction form
    5,806.46/8,709.80 = 1,423.95/x
  3. Step 3: Cross multiply
    5,806.46x = 8,709.80 × 1,423.95
  4. Step 4: Simplify right side
    5,806.46x = 12,402,312.59
  5. Step 5: Solve for x
    x = 12,402,312.59/5,806.46
  6. Step 6: Final answer
    x = 2,135.95

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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.