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Finding the Fourth Proportional to 5,509.34, 8,264.93 and 1,810.76

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Solution

The fourth proportional to 5,509.34, 8,264.93 and 1,810.76 is: 2,716.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.34 : 8,264.93 = 1,810.76 : x
  2. Step 2: Convert to fraction form
    5,509.34/8,264.93 = 1,810.76/x
  3. Step 3: Cross multiply
    5,509.34x = 8,264.93 × 1,810.76
  4. Step 4: Simplify right side
    5,509.34x = 14,965,804.65
  5. Step 5: Solve for x
    x = 14,965,804.65/5,509.34
  6. Step 6: Final answer
    x = 2,716.44

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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.