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Finding the Fourth Proportional to 5,303.21, 7,946.52 and 2,014.52

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Solution

The fourth proportional to 5,303.21, 7,946.52 and 2,014.52 is: 3,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.21 : 7,946.52 = 2,014.52 : x
  2. Step 2: Convert to fraction form
    5,303.21/7,946.52 = 2,014.52/x
  3. Step 3: Cross multiply
    5,303.21x = 7,946.52 × 2,014.52
  4. Step 4: Simplify right side
    5,303.21x = 16,008,423.47
  5. Step 5: Solve for x
    x = 16,008,423.47/5,303.21
  6. Step 6: Final answer
    x = 3,018.63

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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.