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Finding the Fourth Proportional to 3,090.84, 4,641.06 and 2,363.16

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Solution

The fourth proportional to 3,090.84, 4,641.06 and 2,363.16 is: 3,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.84 : 4,641.06 = 2,363.16 : x
  2. Step 2: Convert to fraction form
    3,090.84/4,641.06 = 2,363.16/x
  3. Step 3: Cross multiply
    3,090.84x = 4,641.06 × 2,363.16
  4. Step 4: Simplify right side
    3,090.84x = 10,967,567.35
  5. Step 5: Solve for x
    x = 10,967,567.35/3,090.84
  6. Step 6: Final answer
    x = 3,548.41

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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.