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Finding the Fourth Proportional to 4,674.35, 7,011.50 and 1,164.34

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Solution

The fourth proportional to 4,674.35, 7,011.50 and 1,164.34 is: 1,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.35 : 7,011.50 = 1,164.34 : x
  2. Step 2: Convert to fraction form
    4,674.35/7,011.50 = 1,164.34/x
  3. Step 3: Cross multiply
    4,674.35x = 7,011.50 × 1,164.34
  4. Step 4: Simplify right side
    4,674.35x = 8,163,769.91
  5. Step 5: Solve for x
    x = 8,163,769.91/4,674.35
  6. Step 6: Final answer
    x = 1,746.50

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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.