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Finding the Fourth Proportional to 5,315.47, 7,345.47 and 3,986.87

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Solution

The fourth proportional to 5,315.47, 7,345.47 and 3,986.87 is: 5,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,315.47 : 7,345.47 = 3,986.87 : x
  2. Step 2: Convert to fraction form
    5,315.47/7,345.47 = 3,986.87/x
  3. Step 3: Cross multiply
    5,315.47x = 7,345.47 × 3,986.87
  4. Step 4: Simplify right side
    5,315.47x = 29,285,433.98
  5. Step 5: Solve for x
    x = 29,285,433.98/5,315.47
  6. Step 6: Final answer
    x = 5,509.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.