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Finding the Fourth Proportional to 4,307.99, 6,462.32 and 1,386.38

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Solution

The fourth proportional to 4,307.99, 6,462.32 and 1,386.38 is: 2,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.99 : 6,462.32 = 1,386.38 : x
  2. Step 2: Convert to fraction form
    4,307.99/6,462.32 = 1,386.38/x
  3. Step 3: Cross multiply
    4,307.99x = 6,462.32 × 1,386.38
  4. Step 4: Simplify right side
    4,307.99x = 8,959,240.43
  5. Step 5: Solve for x
    x = 8,959,240.43/4,307.99
  6. Step 6: Final answer
    x = 2,079.68

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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.