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Finding the Fourth Proportional to 5,007.65, 6,902.88 and 3,746.79

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Solution

The fourth proportional to 5,007.65, 6,902.88 and 3,746.79 is: 5,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.65 : 6,902.88 = 3,746.79 : x
  2. Step 2: Convert to fraction form
    5,007.65/6,902.88 = 3,746.79/x
  3. Step 3: Cross multiply
    5,007.65x = 6,902.88 × 3,746.79
  4. Step 4: Simplify right side
    5,007.65x = 25,863,673.06
  5. Step 5: Solve for x
    x = 25,863,673.06/5,007.65
  6. Step 6: Final answer
    x = 5,164.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.