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Finding the Fourth Proportional to 3,699.65, 5,547.42 and 1,233.12

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Solution

The fourth proportional to 3,699.65, 5,547.42 and 1,233.12 is: 1,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.65 : 5,547.42 = 1,233.12 : x
  2. Step 2: Convert to fraction form
    3,699.65/5,547.42 = 1,233.12/x
  3. Step 3: Cross multiply
    3,699.65x = 5,547.42 × 1,233.12
  4. Step 4: Simplify right side
    3,699.65x = 6,840,634.55
  5. Step 5: Solve for x
    x = 6,840,634.55/3,699.65
  6. Step 6: Final answer
    x = 1,849.00

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1.5x scale

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.