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Finding the Fourth Proportional to 3,880.96, 5,818.56 and 3,490

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Solution

The fourth proportional to 3,880.96, 5,818.56 and 3,490 is: 5,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.96 : 5,818.56 = 3,490 : x
  2. Step 2: Convert to fraction form
    3,880.96/5,818.56 = 3,490/x
  3. Step 3: Cross multiply
    3,880.96x = 5,818.56 × 3,490
  4. Step 4: Simplify right side
    3,880.96x = 20,306,774.40
  5. Step 5: Solve for x
    x = 20,306,774.40/3,880.96
  6. Step 6: Final answer
    x = 5,232.41

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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.