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Finding the Fourth Proportional to 4,702.56, 7,053.81 and 2,103.67

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Solution

The fourth proportional to 4,702.56, 7,053.81 and 2,103.67 is: 3,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.56 : 7,053.81 = 2,103.67 : x
  2. Step 2: Convert to fraction form
    4,702.56/7,053.81 = 2,103.67/x
  3. Step 3: Cross multiply
    4,702.56x = 7,053.81 × 2,103.67
  4. Step 4: Simplify right side
    4,702.56x = 14,838,888.48
  5. Step 5: Solve for x
    x = 14,838,888.48/4,702.56
  6. Step 6: Final answer
    x = 3,155.49

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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.