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Finding the Fourth Proportional to 3,366.66, 5,048.63 and 1,417.50

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Solution

The fourth proportional to 3,366.66, 5,048.63 and 1,417.50 is: 2,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.66 : 5,048.63 = 1,417.50 : x
  2. Step 2: Convert to fraction form
    3,366.66/5,048.63 = 1,417.50/x
  3. Step 3: Cross multiply
    3,366.66x = 5,048.63 × 1,417.50
  4. Step 4: Simplify right side
    3,366.66x = 7,156,431.25
  5. Step 5: Solve for x
    x = 7,156,431.25/3,366.66
  6. Step 6: Final answer
    x = 2,125.67

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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.