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Finding the Fourth Proportional to 3,406.86, 4,701.14 and 1,915.30

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Solution

The fourth proportional to 3,406.86, 4,701.14 and 1,915.30 is: 2,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.86 : 4,701.14 = 1,915.30 : x
  2. Step 2: Convert to fraction form
    3,406.86/4,701.14 = 1,915.30/x
  3. Step 3: Cross multiply
    3,406.86x = 4,701.14 × 1,915.30
  4. Step 4: Simplify right side
    3,406.86x = 9,004,070.48
  5. Step 5: Solve for x
    x = 9,004,070.48/3,406.86
  6. Step 6: Final answer
    x = 2,642.92

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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.