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Finding the Fourth Proportional to 3,011.60, 4,207.60 and 3,011.60

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Solution

The fourth proportional to 3,011.60, 4,207.60 and 3,011.60 is: 4,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,011.60 : 4,207.60 = 3,011.60 : x
  2. Step 2: Convert to fraction form
    3,011.60/4,207.60 = 3,011.60/x
  3. Step 3: Cross multiply
    3,011.60x = 4,207.60 × 3,011.60
  4. Step 4: Simplify right side
    3,011.60x = 12,671,608.16
  5. Step 5: Solve for x
    x = 12,671,608.16/3,011.60
  6. Step 6: Final answer
    x = 4,207.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.