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Finding the Fourth Proportional to 6,430.34, 8,873.42 and 3,597.57

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Solution

The fourth proportional to 6,430.34, 8,873.42 and 3,597.57 is: 4,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.34 : 8,873.42 = 3,597.57 : x
  2. Step 2: Convert to fraction form
    6,430.34/8,873.42 = 3,597.57/x
  3. Step 3: Cross multiply
    6,430.34x = 8,873.42 × 3,597.57
  4. Step 4: Simplify right side
    6,430.34x = 31,922,731.60
  5. Step 5: Solve for x
    x = 31,922,731.60/6,430.34
  6. Step 6: Final answer
    x = 4,964.39

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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.