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Finding the Fourth Proportional to 5,005.70, 7,509.05 and 1,718.36

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Solution

The fourth proportional to 5,005.70, 7,509.05 and 1,718.36 is: 2,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.70 : 7,509.05 = 1,718.36 : x
  2. Step 2: Convert to fraction form
    5,005.70/7,509.05 = 1,718.36/x
  3. Step 3: Cross multiply
    5,005.70x = 7,509.05 × 1,718.36
  4. Step 4: Simplify right side
    5,005.70x = 12,903,246.07
  5. Step 5: Solve for x
    x = 12,903,246.07/5,005.70
  6. Step 6: Final answer
    x = 2,577.71

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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.