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Finding the Fourth Proportional to 4,758.96, 7,106.05 and 4,199

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Solution

The fourth proportional to 4,758.96, 7,106.05 and 4,199 is: 6,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.96 : 7,106.05 = 4,199 : x
  2. Step 2: Convert to fraction form
    4,758.96/7,106.05 = 4,199/x
  3. Step 3: Cross multiply
    4,758.96x = 7,106.05 × 4,199
  4. Step 4: Simplify right side
    4,758.96x = 29,838,303.95
  5. Step 5: Solve for x
    x = 29,838,303.95/4,758.96
  6. Step 6: Final answer
    x = 6,269.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.