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Finding the Fourth Proportional to 6,430.76, 8,872.49 and 3,597.84

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Solution

The fourth proportional to 6,430.76, 8,872.49 and 3,597.84 is: 4,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.76 : 8,872.49 = 3,597.84 : x
  2. Step 2: Convert to fraction form
    6,430.76/8,872.49 = 3,597.84/x
  3. Step 3: Cross multiply
    6,430.76x = 8,872.49 × 3,597.84
  4. Step 4: Simplify right side
    6,430.76x = 31,921,799.42
  5. Step 5: Solve for x
    x = 31,921,799.42/6,430.76
  6. Step 6: Final answer
    x = 4,963.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.