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Finding the Fourth Proportional to 5,006.02, 7,509.19 and 1,719.07

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Solution

The fourth proportional to 5,006.02, 7,509.19 and 1,719.07 is: 2,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.02 : 7,509.19 = 1,719.07 : x
  2. Step 2: Convert to fraction form
    5,006.02/7,509.19 = 1,719.07/x
  3. Step 3: Cross multiply
    5,006.02x = 7,509.19 × 1,719.07
  4. Step 4: Simplify right side
    5,006.02x = 12,908,823.25
  5. Step 5: Solve for x
    x = 12,908,823.25/5,006.02
  6. Step 6: Final answer
    x = 2,578.66

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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.