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Finding the Fourth Proportional to 4,905.62, 7,359.51 and 4,690.34

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Solution

The fourth proportional to 4,905.62, 7,359.51 and 4,690.34 is: 7,036.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.62 : 7,359.51 = 4,690.34 : x
  2. Step 2: Convert to fraction form
    4,905.62/7,359.51 = 4,690.34/x
  3. Step 3: Cross multiply
    4,905.62x = 7,359.51 × 4,690.34
  4. Step 4: Simplify right side
    4,905.62x = 34,518,604.13
  5. Step 5: Solve for x
    x = 34,518,604.13/4,905.62
  6. Step 6: Final answer
    x = 7,036.54

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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.