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Finding the Fourth Proportional to 5,000.94, 7,510.05 and 3,064.50

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Solution

The fourth proportional to 5,000.94, 7,510.05 and 3,064.50 is: 4,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.94 : 7,510.05 = 3,064.50 : x
  2. Step 2: Convert to fraction form
    5,000.94/7,510.05 = 3,064.50/x
  3. Step 3: Cross multiply
    5,000.94x = 7,510.05 × 3,064.50
  4. Step 4: Simplify right side
    5,000.94x = 23,014,548.23
  5. Step 5: Solve for x
    x = 23,014,548.23/5,000.94
  6. Step 6: Final answer
    x = 4,602.04

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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.