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Finding the Fourth Proportional to 4,668.10, 7,002.15 and 1,205.35

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Solution

The fourth proportional to 4,668.10, 7,002.15 and 1,205.35 is: 1,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.10 : 7,002.15 = 1,205.35 : x
  2. Step 2: Convert to fraction form
    4,668.10/7,002.15 = 1,205.35/x
  3. Step 3: Cross multiply
    4,668.10x = 7,002.15 × 1,205.35
  4. Step 4: Simplify right side
    4,668.10x = 8,440,041.50
  5. Step 5: Solve for x
    x = 8,440,041.50/4,668.10
  6. Step 6: Final answer
    x = 1,808.03

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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.