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Finding the Fourth Proportional to 3,700, 5,547.84 and 1,233.46

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Solution

The fourth proportional to 3,700, 5,547.84 and 1,233.46 is: 1,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700 : 5,547.84 = 1,233.46 : x
  2. Step 2: Convert to fraction form
    3,700/5,547.84 = 1,233.46/x
  3. Step 3: Cross multiply
    3,700x = 5,547.84 × 1,233.46
  4. Step 4: Simplify right side
    3,700x = 6,843,038.73
  5. Step 5: Solve for x
    x = 6,843,038.73/3,700
  6. Step 6: Final answer
    x = 1,849.47

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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.