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Finding the Fourth Proportional to 4,666.00, 7,000.05 and 1,546.00

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Solution

The fourth proportional to 4,666.00, 7,000.05 and 1,546.00 is: 2,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.00 : 7,000.05 = 1,546.00 : x
  2. Step 2: Convert to fraction form
    4,666.00/7,000.05 = 1,546.00/x
  3. Step 3: Cross multiply
    4,666.00x = 7,000.05 × 1,546.00
  4. Step 4: Simplify right side
    4,666.00x = 10,822,042.30
  5. Step 5: Solve for x
    x = 10,822,042.30/4,666.00
  6. Step 6: Final answer
    x = 2,319.34

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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.