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Finding the Fourth Proportional to 3,814.68, 5,264.70 and 2,323.47

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Solution

The fourth proportional to 3,814.68, 5,264.70 and 2,323.47 is: 3,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.68 : 5,264.70 = 2,323.47 : x
  2. Step 2: Convert to fraction form
    3,814.68/5,264.70 = 2,323.47/x
  3. Step 3: Cross multiply
    3,814.68x = 5,264.70 × 2,323.47
  4. Step 4: Simplify right side
    3,814.68x = 12,232,372.51
  5. Step 5: Solve for x
    x = 12,232,372.51/3,814.68
  6. Step 6: Final answer
    x = 3,206.66

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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.