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Finding the Fourth Proportional to 5,000.64, 7,498.06 and 1,712.86

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Solution

The fourth proportional to 5,000.64, 7,498.06 and 1,712.86 is: 2,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.64 : 7,498.06 = 1,712.86 : x
  2. Step 2: Convert to fraction form
    5,000.64/7,498.06 = 1,712.86/x
  3. Step 3: Cross multiply
    5,000.64x = 7,498.06 × 1,712.86
  4. Step 4: Simplify right side
    5,000.64x = 12,843,127.05
  5. Step 5: Solve for x
    x = 12,843,127.05/5,000.64
  6. Step 6: Final answer
    x = 2,568.30

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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.