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Finding the Fourth Proportional to 4,939.03, 7,409.76 and 4,534.03

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Solution

The fourth proportional to 4,939.03, 7,409.76 and 4,534.03 is: 6,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.03 : 7,409.76 = 4,534.03 : x
  2. Step 2: Convert to fraction form
    4,939.03/7,409.76 = 4,534.03/x
  3. Step 3: Cross multiply
    4,939.03x = 7,409.76 × 4,534.03
  4. Step 4: Simplify right side
    4,939.03x = 33,596,074.13
  5. Step 5: Solve for x
    x = 33,596,074.13/4,939.03
  6. Step 6: Final answer
    x = 6,802.16

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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.