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Finding the Fourth Proportional to 5,486.49, 7,573.86 and 3,598.20

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Solution

The fourth proportional to 5,486.49, 7,573.86 and 3,598.20 is: 4,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.49 : 7,573.86 = 3,598.20 : x
  2. Step 2: Convert to fraction form
    5,486.49/7,573.86 = 3,598.20/x
  3. Step 3: Cross multiply
    5,486.49x = 7,573.86 × 3,598.20
  4. Step 4: Simplify right side
    5,486.49x = 27,252,263.05
  5. Step 5: Solve for x
    x = 27,252,263.05/5,486.49
  6. Step 6: Final answer
    x = 4,967.16

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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.