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Finding the Fourth Proportional to 4,666.63, 7,000.35 and 1,203.88

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Solution

The fourth proportional to 4,666.63, 7,000.35 and 1,203.88 is: 1,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.63 : 7,000.35 = 1,203.88 : x
  2. Step 2: Convert to fraction form
    4,666.63/7,000.35 = 1,203.88/x
  3. Step 3: Cross multiply
    4,666.63x = 7,000.35 × 1,203.88
  4. Step 4: Simplify right side
    4,666.63x = 8,427,540.34
  5. Step 5: Solve for x
    x = 8,427,540.34/4,666.63
  6. Step 6: Final answer
    x = 1,805.92

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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.