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Finding the Fourth Proportional to 5,509.65, 8,265.02 and 1,810.38

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Solution

The fourth proportional to 5,509.65, 8,265.02 and 1,810.38 is: 2,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.65 : 8,265.02 = 1,810.38 : x
  2. Step 2: Convert to fraction form
    5,509.65/8,265.02 = 1,810.38/x
  3. Step 3: Cross multiply
    5,509.65x = 8,265.02 × 1,810.38
  4. Step 4: Simplify right side
    5,509.65x = 14,962,826.91
  5. Step 5: Solve for x
    x = 14,962,826.91/5,509.65
  6. Step 6: Final answer
    x = 2,715.75

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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.