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Finding the Fourth Proportional to 4,670.28, 7,005.14 and 1,748.36

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Solution

The fourth proportional to 4,670.28, 7,005.14 and 1,748.36 is: 2,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.28 : 7,005.14 = 1,748.36 : x
  2. Step 2: Convert to fraction form
    4,670.28/7,005.14 = 1,748.36/x
  3. Step 3: Cross multiply
    4,670.28x = 7,005.14 × 1,748.36
  4. Step 4: Simplify right side
    4,670.28x = 12,247,506.57
  5. Step 5: Solve for x
    x = 12,247,506.57/4,670.28
  6. Step 6: Final answer
    x = 2,622.44

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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.