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Finding the Fourth Proportional to 5,365.98, 7,365.56 and 4,763.34

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Solution

The fourth proportional to 5,365.98, 7,365.56 and 4,763.34 is: 6,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.98 : 7,365.56 = 4,763.34 : x
  2. Step 2: Convert to fraction form
    5,365.98/7,365.56 = 4,763.34/x
  3. Step 3: Cross multiply
    5,365.98x = 7,365.56 × 4,763.34
  4. Step 4: Simplify right side
    5,365.98x = 35,084,642.75
  5. Step 5: Solve for x
    x = 35,084,642.75/5,365.98
  6. Step 6: Final answer
    x = 6,538.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.