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Finding the Fourth Proportional to 5,570.32, 7,684.32 and 4,685.80

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Solution

The fourth proportional to 5,570.32, 7,684.32 and 4,685.80 is: 6,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.32 : 7,684.32 = 4,685.80 : x
  2. Step 2: Convert to fraction form
    5,570.32/7,684.32 = 4,685.80/x
  3. Step 3: Cross multiply
    5,570.32x = 7,684.32 × 4,685.80
  4. Step 4: Simplify right side
    5,570.32x = 36,007,186.66
  5. Step 5: Solve for x
    x = 36,007,186.66/5,570.32
  6. Step 6: Final answer
    x = 6,464.11

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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.