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Finding the Fourth Proportional to 5,835.41, 8,756.70 and 3,064.07

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Solution

The fourth proportional to 5,835.41, 8,756.70 and 3,064.07 is: 4,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.41 : 8,756.70 = 3,064.07 : x
  2. Step 2: Convert to fraction form
    5,835.41/8,756.70 = 3,064.07/x
  3. Step 3: Cross multiply
    5,835.41x = 8,756.70 × 3,064.07
  4. Step 4: Simplify right side
    5,835.41x = 26,831,169.41
  5. Step 5: Solve for x
    x = 26,831,169.41/5,835.41
  6. Step 6: Final answer
    x = 4,597.99

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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.