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Finding the Fourth Proportional to 3,655.89, 5,045.13 and 2,084.88

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Solution

The fourth proportional to 3,655.89, 5,045.13 and 2,084.88 is: 2,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,655.89 : 5,045.13 = 2,084.88 : x
  2. Step 2: Convert to fraction form
    3,655.89/5,045.13 = 2,084.88/x
  3. Step 3: Cross multiply
    3,655.89x = 5,045.13 × 2,084.88
  4. Step 4: Simplify right side
    3,655.89x = 10,518,490.63
  5. Step 5: Solve for x
    x = 10,518,490.63/3,655.89
  6. Step 6: Final answer
    x = 2,877.14

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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.