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Finding the Fourth Proportional to 4,728.54, 6,527.08 and 2,740

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Solution

The fourth proportional to 4,728.54, 6,527.08 and 2,740 is: 3,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.54 : 6,527.08 = 2,740 : x
  2. Step 2: Convert to fraction form
    4,728.54/6,527.08 = 2,740/x
  3. Step 3: Cross multiply
    4,728.54x = 6,527.08 × 2,740
  4. Step 4: Simplify right side
    4,728.54x = 17,884,199.20
  5. Step 5: Solve for x
    x = 17,884,199.20/4,728.54
  6. Step 6: Final answer
    x = 3,782.18

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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.