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Finding the Fourth Proportional to 3,840.59, 5,298.30 and 3,135.35

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Solution

The fourth proportional to 3,840.59, 5,298.30 and 3,135.35 is: 4,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.59 : 5,298.30 = 3,135.35 : x
  2. Step 2: Convert to fraction form
    3,840.59/5,298.30 = 3,135.35/x
  3. Step 3: Cross multiply
    3,840.59x = 5,298.30 × 3,135.35
  4. Step 4: Simplify right side
    3,840.59x = 16,612,019.50
  5. Step 5: Solve for x
    x = 16,612,019.50/3,840.59
  6. Step 6: Final answer
    x = 4,325.38

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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.