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Finding the Fourth Proportional to 5,000.61, 7,502.06 and 1,713.70

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Solution

The fourth proportional to 5,000.61, 7,502.06 and 1,713.70 is: 2,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.61 : 7,502.06 = 1,713.70 : x
  2. Step 2: Convert to fraction form
    5,000.61/7,502.06 = 1,713.70/x
  3. Step 3: Cross multiply
    5,000.61x = 7,502.06 × 1,713.70
  4. Step 4: Simplify right side
    5,000.61x = 12,856,280.22
  5. Step 5: Solve for x
    x = 12,856,280.22/5,000.61
  6. Step 6: Final answer
    x = 2,570.94

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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.