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Finding the Fourth Proportional to 3,719.84, 5,549.66 and 3,585.36

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Solution

The fourth proportional to 3,719.84, 5,549.66 and 3,585.36 is: 5,349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.84 : 5,549.66 = 3,585.36 : x
  2. Step 2: Convert to fraction form
    3,719.84/5,549.66 = 3,585.36/x
  3. Step 3: Cross multiply
    3,719.84x = 5,549.66 × 3,585.36
  4. Step 4: Simplify right side
    3,719.84x = 19,897,528.98
  5. Step 5: Solve for x
    x = 19,897,528.98/3,719.84
  6. Step 6: Final answer
    x = 5,349.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.