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Finding the Fourth Proportional to 6,946.08, 10,420.20 and 2,328

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Solution

The fourth proportional to 6,946.08, 10,420.20 and 2,328 is: 3,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.08 : 10,420.20 = 2,328 : x
  2. Step 2: Convert to fraction form
    6,946.08/10,420.20 = 2,328/x
  3. Step 3: Cross multiply
    6,946.08x = 10,420.20 × 2,328
  4. Step 4: Simplify right side
    6,946.08x = 24,258,225.60
  5. Step 5: Solve for x
    x = 24,258,225.60/6,946.08
  6. Step 6: Final answer
    x = 3,492.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.