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Finding the Fourth Proportional to 5,197.94, 7,784.49 and 3,000.01

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Solution

The fourth proportional to 5,197.94, 7,784.49 and 3,000.01 is: 4,492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.94 : 7,784.49 = 3,000.01 : x
  2. Step 2: Convert to fraction form
    5,197.94/7,784.49 = 3,000.01/x
  3. Step 3: Cross multiply
    5,197.94x = 7,784.49 × 3,000.01
  4. Step 4: Simplify right side
    5,197.94x = 23,353,547.84
  5. Step 5: Solve for x
    x = 23,353,547.84/5,197.94
  6. Step 6: Final answer
    x = 4,492.85

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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.