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Finding the Fourth Proportional to 5,574.32, 7,689.84 and 4,689.80

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Solution

The fourth proportional to 5,574.32, 7,689.84 and 4,689.80 is: 6,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.32 : 7,689.84 = 4,689.80 : x
  2. Step 2: Convert to fraction form
    5,574.32/7,689.84 = 4,689.80/x
  3. Step 3: Cross multiply
    5,574.32x = 7,689.84 × 4,689.80
  4. Step 4: Simplify right side
    5,574.32x = 36,063,811.63
  5. Step 5: Solve for x
    x = 36,063,811.63/5,574.32
  6. Step 6: Final answer
    x = 6,469.63

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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.