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Finding the Fourth Proportional to 4,410, 6,085.81 and 2,420.67

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Solution

The fourth proportional to 4,410, 6,085.81 and 2,420.67 is: 3,340.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,410 : 6,085.81 = 2,420.67 : x
  2. Step 2: Convert to fraction form
    4,410/6,085.81 = 2,420.67/x
  3. Step 3: Cross multiply
    4,410x = 6,085.81 × 2,420.67
  4. Step 4: Simplify right side
    4,410x = 14,731,731.64
  5. Step 5: Solve for x
    x = 14,731,731.64/4,410
  6. Step 6: Final answer
    x = 3,340.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.