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Finding the Fourth Proportional to 4,670.51, 7,006.78 and 1,383.85

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Solution

The fourth proportional to 4,670.51, 7,006.78 and 1,383.85 is: 2,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.51 : 7,006.78 = 1,383.85 : x
  2. Step 2: Convert to fraction form
    4,670.51/7,006.78 = 1,383.85/x
  3. Step 3: Cross multiply
    4,670.51x = 7,006.78 × 1,383.85
  4. Step 4: Simplify right side
    4,670.51x = 9,696,332.50
  5. Step 5: Solve for x
    x = 9,696,332.50/4,670.51
  6. Step 6: Final answer
    x = 2,076.08

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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.