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Finding the Fourth Proportional to 4,560.63, 6,838.23 and 1,784.01

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Solution

The fourth proportional to 4,560.63, 6,838.23 and 1,784.01 is: 2,674.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.63 : 6,838.23 = 1,784.01 : x
  2. Step 2: Convert to fraction form
    4,560.63/6,838.23 = 1,784.01/x
  3. Step 3: Cross multiply
    4,560.63x = 6,838.23 × 1,784.01
  4. Step 4: Simplify right side
    4,560.63x = 12,199,470.70
  5. Step 5: Solve for x
    x = 12,199,470.70/4,560.63
  6. Step 6: Final answer
    x = 2,674.95

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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.