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Finding the Fourth Proportional to 4,671.81, 7,007.45 and 1,749.87

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Solution

The fourth proportional to 4,671.81, 7,007.45 and 1,749.87 is: 2,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.81 : 7,007.45 = 1,749.87 : x
  2. Step 2: Convert to fraction form
    4,671.81/7,007.45 = 1,749.87/x
  3. Step 3: Cross multiply
    4,671.81x = 7,007.45 × 1,749.87
  4. Step 4: Simplify right side
    4,671.81x = 12,262,117.78
  5. Step 5: Solve for x
    x = 12,262,117.78/4,671.81
  6. Step 6: Final answer
    x = 2,624.70

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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.