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Finding the Fourth Proportional to 7,328.46, 10,994.01 and 2,946.24

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Solution

The fourth proportional to 7,328.46, 10,994.01 and 2,946.24 is: 4,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,328.46 : 10,994.01 = 2,946.24 : x
  2. Step 2: Convert to fraction form
    7,328.46/10,994.01 = 2,946.24/x
  3. Step 3: Cross multiply
    7,328.46x = 10,994.01 × 2,946.24
  4. Step 4: Simplify right side
    7,328.46x = 32,390,992.02
  5. Step 5: Solve for x
    x = 32,390,992.02/7,328.46
  6. Step 6: Final answer
    x = 4,419.89

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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.