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Finding the Fourth Proportional to 3,698.32, 5,547 and 1,233.16

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Solution

The fourth proportional to 3,698.32, 5,547 and 1,233.16 is: 1,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.32 : 5,547 = 1,233.16 : x
  2. Step 2: Convert to fraction form
    3,698.32/5,547 = 1,233.16/x
  3. Step 3: Cross multiply
    3,698.32x = 5,547 × 1,233.16
  4. Step 4: Simplify right side
    3,698.32x = 6,840,338.52
  5. Step 5: Solve for x
    x = 6,840,338.52/3,698.32
  6. Step 6: Final answer
    x = 1,849.58

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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.