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Finding the Fourth Proportional to 5,764.79, 7,951.55 and 4,657.65

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Solution

The fourth proportional to 5,764.79, 7,951.55 and 4,657.65 is: 6,424.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.79 : 7,951.55 = 4,657.65 : x
  2. Step 2: Convert to fraction form
    5,764.79/7,951.55 = 4,657.65/x
  3. Step 3: Cross multiply
    5,764.79x = 7,951.55 × 4,657.65
  4. Step 4: Simplify right side
    5,764.79x = 37,035,513.57
  5. Step 5: Solve for x
    x = 37,035,513.57/5,764.79
  6. Step 6: Final answer
    x = 6,424.44

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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.