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Finding the Fourth Proportional to 4,695.98, 7,042.14 and 1,774.51

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Solution

The fourth proportional to 4,695.98, 7,042.14 and 1,774.51 is: 2,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.98 : 7,042.14 = 1,774.51 : x
  2. Step 2: Convert to fraction form
    4,695.98/7,042.14 = 1,774.51/x
  3. Step 3: Cross multiply
    4,695.98x = 7,042.14 × 1,774.51
  4. Step 4: Simplify right side
    4,695.98x = 12,496,330.25
  5. Step 5: Solve for x
    x = 12,496,330.25/4,695.98
  6. Step 6: Final answer
    x = 2,661.07

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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.