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Finding the Fourth Proportional to 3,756.41, 5,635.13 and 1,564.63

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Solution

The fourth proportional to 3,756.41, 5,635.13 and 1,564.63 is: 2,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.41 : 5,635.13 = 1,564.63 : x
  2. Step 2: Convert to fraction form
    3,756.41/5,635.13 = 1,564.63/x
  3. Step 3: Cross multiply
    3,756.41x = 5,635.13 × 1,564.63
  4. Step 4: Simplify right side
    3,756.41x = 8,816,890.47
  5. Step 5: Solve for x
    x = 8,816,890.47/3,756.41
  6. Step 6: Final answer
    x = 2,347.16

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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.