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Finding the Fourth Proportional to 5,302.75, 7,955.34 and 1,840

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Solution

The fourth proportional to 5,302.75, 7,955.34 and 1,840 is: 2,760.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.75 : 7,955.34 = 1,840 : x
  2. Step 2: Convert to fraction form
    5,302.75/7,955.34 = 1,840/x
  3. Step 3: Cross multiply
    5,302.75x = 7,955.34 × 1,840
  4. Step 4: Simplify right side
    5,302.75x = 14,637,825.60
  5. Step 5: Solve for x
    x = 14,637,825.60/5,302.75
  6. Step 6: Final answer
    x = 2,760.42

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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.