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Finding the Fourth Proportional to 3,807.63, 5,710.56 and 1,466.86

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Solution

The fourth proportional to 3,807.63, 5,710.56 and 1,466.86 is: 2,199.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.63 : 5,710.56 = 1,466.86 : x
  2. Step 2: Convert to fraction form
    3,807.63/5,710.56 = 1,466.86/x
  3. Step 3: Cross multiply
    3,807.63x = 5,710.56 × 1,466.86
  4. Step 4: Simplify right side
    3,807.63x = 8,376,592.04
  5. Step 5: Solve for x
    x = 8,376,592.04/3,807.63
  6. Step 6: Final answer
    x = 2,199.95

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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.