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Finding the Fourth Proportional to 3,152, 4,347.36 and 2,364.80

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Solution

The fourth proportional to 3,152, 4,347.36 and 2,364.80 is: 3,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152 : 4,347.36 = 2,364.80 : x
  2. Step 2: Convert to fraction form
    3,152/4,347.36 = 2,364.80/x
  3. Step 3: Cross multiply
    3,152x = 4,347.36 × 2,364.80
  4. Step 4: Simplify right side
    3,152x = 10,280,636.93
  5. Step 5: Solve for x
    x = 10,280,636.93/3,152
  6. Step 6: Final answer
    x = 3,261.62

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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.