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Finding the Fourth Proportional to 4,602.66, 6,914.22 and 2,848.95

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Solution

The fourth proportional to 4,602.66, 6,914.22 and 2,848.95 is: 4,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.66 : 6,914.22 = 2,848.95 : x
  2. Step 2: Convert to fraction form
    4,602.66/6,914.22 = 2,848.95/x
  3. Step 3: Cross multiply
    4,602.66x = 6,914.22 × 2,848.95
  4. Step 4: Simplify right side
    4,602.66x = 19,698,267.07
  5. Step 5: Solve for x
    x = 19,698,267.07/4,602.66
  6. Step 6: Final answer
    x = 4,279.76

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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.