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Finding the Fourth Proportional to 3,378.47, 5,064.27 and 1,405.53

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Solution

The fourth proportional to 3,378.47, 5,064.27 and 1,405.53 is: 2,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.47 : 5,064.27 = 1,405.53 : x
  2. Step 2: Convert to fraction form
    3,378.47/5,064.27 = 1,405.53/x
  3. Step 3: Cross multiply
    3,378.47x = 5,064.27 × 1,405.53
  4. Step 4: Simplify right side
    3,378.47x = 7,117,983.41
  5. Step 5: Solve for x
    x = 7,117,983.41/3,378.47
  6. Step 6: Final answer
    x = 2,106.87

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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.