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Finding the Fourth Proportional to 5,785.49, 8,678.08 and 1,625.53

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Solution

The fourth proportional to 5,785.49, 8,678.08 and 1,625.53 is: 2,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.49 : 8,678.08 = 1,625.53 : x
  2. Step 2: Convert to fraction form
    5,785.49/8,678.08 = 1,625.53/x
  3. Step 3: Cross multiply
    5,785.49x = 8,678.08 × 1,625.53
  4. Step 4: Simplify right side
    5,785.49x = 14,106,479.38
  5. Step 5: Solve for x
    x = 14,106,479.38/5,785.49
  6. Step 6: Final answer
    x = 2,438.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.