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Finding the Fourth Proportional to 5,390.64, 7,443.35 and 4,406.49

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Solution

The fourth proportional to 5,390.64, 7,443.35 and 4,406.49 is: 6,084.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.64 : 7,443.35 = 4,406.49 : x
  2. Step 2: Convert to fraction form
    5,390.64/7,443.35 = 4,406.49/x
  3. Step 3: Cross multiply
    5,390.64x = 7,443.35 × 4,406.49
  4. Step 4: Simplify right side
    5,390.64x = 32,799,025.31
  5. Step 5: Solve for x
    x = 32,799,025.31/5,390.64
  6. Step 6: Final answer
    x = 6,084.44

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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.