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Finding the Fourth Proportional to 4,671.60, 7,005.32 and 1,383.54

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Solution

The fourth proportional to 4,671.60, 7,005.32 and 1,383.54 is: 2,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.60 : 7,005.32 = 1,383.54 : x
  2. Step 2: Convert to fraction form
    4,671.60/7,005.32 = 1,383.54/x
  3. Step 3: Cross multiply
    4,671.60x = 7,005.32 × 1,383.54
  4. Step 4: Simplify right side
    4,671.60x = 9,692,140.43
  5. Step 5: Solve for x
    x = 9,692,140.43/4,671.60
  6. Step 6: Final answer
    x = 2,074.69

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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.