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Finding the Fourth Proportional to 5,725.87, 7,904.27 and 3,368.16

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Solution

The fourth proportional to 5,725.87, 7,904.27 and 3,368.16 is: 4,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725.87 : 7,904.27 = 3,368.16 : x
  2. Step 2: Convert to fraction form
    5,725.87/7,904.27 = 3,368.16/x
  3. Step 3: Cross multiply
    5,725.87x = 7,904.27 × 3,368.16
  4. Step 4: Simplify right side
    5,725.87x = 26,622,854.46
  5. Step 5: Solve for x
    x = 26,622,854.46/5,725.87
  6. Step 6: Final answer
    x = 4,649.58

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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.