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Finding the Fourth Proportional to 5,426.47, 7,482.36 and 3,655

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Solution

The fourth proportional to 5,426.47, 7,482.36 and 3,655 is: 5,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,426.47 : 7,482.36 = 3,655 : x
  2. Step 2: Convert to fraction form
    5,426.47/7,482.36 = 3,655/x
  3. Step 3: Cross multiply
    5,426.47x = 7,482.36 × 3,655
  4. Step 4: Simplify right side
    5,426.47x = 27,348,025.80
  5. Step 5: Solve for x
    x = 27,348,025.80/5,426.47
  6. Step 6: Final answer
    x = 5,039.75

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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.