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Finding the Fourth Proportional to 5,819, 8,030.22 and 3,335

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Solution

The fourth proportional to 5,819, 8,030.22 and 3,335 is: 4,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,819 : 8,030.22 = 3,335 : x
  2. Step 2: Convert to fraction form
    5,819/8,030.22 = 3,335/x
  3. Step 3: Cross multiply
    5,819x = 8,030.22 × 3,335
  4. Step 4: Simplify right side
    5,819x = 26,780,783.70
  5. Step 5: Solve for x
    x = 26,780,783.70/5,819
  6. Step 6: Final answer
    x = 4,602.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.