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Finding the Fourth Proportional to 3,534.12, 4,865.94 and 3,001.86

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Solution

The fourth proportional to 3,534.12, 4,865.94 and 3,001.86 is: 4,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.12 : 4,865.94 = 3,001.86 : x
  2. Step 2: Convert to fraction form
    3,534.12/4,865.94 = 3,001.86/x
  3. Step 3: Cross multiply
    3,534.12x = 4,865.94 × 3,001.86
  4. Step 4: Simplify right side
    3,534.12x = 14,606,870.65
  5. Step 5: Solve for x
    x = 14,606,870.65/3,534.12
  6. Step 6: Final answer
    x = 4,133.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.