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Finding the Fourth Proportional to 3,102.59, 4,652.98 and 3,071.15

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Solution

The fourth proportional to 3,102.59, 4,652.98 and 3,071.15 is: 4,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.59 : 4,652.98 = 3,071.15 : x
  2. Step 2: Convert to fraction form
    3,102.59/4,652.98 = 3,071.15/x
  3. Step 3: Cross multiply
    3,102.59x = 4,652.98 × 3,071.15
  4. Step 4: Simplify right side
    3,102.59x = 14,289,999.53
  5. Step 5: Solve for x
    x = 14,289,999.53/3,102.59
  6. Step 6: Final answer
    x = 4,605.83

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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.