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Finding the Fourth Proportional to 5,329.12, 7,357.34 and 4,738.02

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Solution

The fourth proportional to 5,329.12, 7,357.34 and 4,738.02 is: 6,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.12 : 7,357.34 = 4,738.02 : x
  2. Step 2: Convert to fraction form
    5,329.12/7,357.34 = 4,738.02/x
  3. Step 3: Cross multiply
    5,329.12x = 7,357.34 × 4,738.02
  4. Step 4: Simplify right side
    5,329.12x = 34,859,224.07
  5. Step 5: Solve for x
    x = 34,859,224.07/5,329.12
  6. Step 6: Final answer
    x = 6,541.27

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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.