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Finding the Fourth Proportional to 5,347.42, 8,050.85 and 4,633

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Solution

The fourth proportional to 5,347.42, 8,050.85 and 4,633 is: 6,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.42 : 8,050.85 = 4,633 : x
  2. Step 2: Convert to fraction form
    5,347.42/8,050.85 = 4,633/x
  3. Step 3: Cross multiply
    5,347.42x = 8,050.85 × 4,633
  4. Step 4: Simplify right side
    5,347.42x = 37,299,588.05
  5. Step 5: Solve for x
    x = 37,299,588.05/5,347.42
  6. Step 6: Final answer
    x = 6,975.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.