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Finding the Fourth Proportional to 4,835.94, 7,254.06 and 1,715.90

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Solution

The fourth proportional to 4,835.94, 7,254.06 and 1,715.90 is: 2,573.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.94 : 7,254.06 = 1,715.90 : x
  2. Step 2: Convert to fraction form
    4,835.94/7,254.06 = 1,715.90/x
  3. Step 3: Cross multiply
    4,835.94x = 7,254.06 × 1,715.90
  4. Step 4: Simplify right side
    4,835.94x = 12,447,241.55
  5. Step 5: Solve for x
    x = 12,447,241.55/4,835.94
  6. Step 6: Final answer
    x = 2,573.90

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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.