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Finding the Fourth Proportional to 3,700, 5,549.93 and 1,102.93

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Solution

The fourth proportional to 3,700, 5,549.93 and 1,102.93 is: 1,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700 : 5,549.93 = 1,102.93 : x
  2. Step 2: Convert to fraction form
    3,700/5,549.93 = 1,102.93/x
  3. Step 3: Cross multiply
    3,700x = 5,549.93 × 1,102.93
  4. Step 4: Simplify right side
    3,700x = 6,121,184.29
  5. Step 5: Solve for x
    x = 6,121,184.29/3,700
  6. Step 6: Final answer
    x = 1,654.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.