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Finding the Fourth Proportional to 5,525.81, 8,289.12 and 1,830.65

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Solution

The fourth proportional to 5,525.81, 8,289.12 and 1,830.65 is: 2,746.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,525.81 : 8,289.12 = 1,830.65 : x
  2. Step 2: Convert to fraction form
    5,525.81/8,289.12 = 1,830.65/x
  3. Step 3: Cross multiply
    5,525.81x = 8,289.12 × 1,830.65
  4. Step 4: Simplify right side
    5,525.81x = 15,174,477.53
  5. Step 5: Solve for x
    x = 15,174,477.53/5,525.81
  6. Step 6: Final answer
    x = 2,746.11

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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.