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Finding the Fourth Proportional to 3,870.67, 5,807.13 and 1,405.45

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Solution

The fourth proportional to 3,870.67, 5,807.13 and 1,405.45 is: 2,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.67 : 5,807.13 = 1,405.45 : x
  2. Step 2: Convert to fraction form
    3,870.67/5,807.13 = 1,405.45/x
  3. Step 3: Cross multiply
    3,870.67x = 5,807.13 × 1,405.45
  4. Step 4: Simplify right side
    3,870.67x = 8,161,630.86
  5. Step 5: Solve for x
    x = 8,161,630.86/3,870.67
  6. Step 6: Final answer
    x = 2,108.58

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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.