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Finding the Fourth Proportional to 3,047.01, 4,570.16 and 855.93

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Solution

The fourth proportional to 3,047.01, 4,570.16 and 855.93 is: 1,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.01 : 4,570.16 = 855.93 : x
  2. Step 2: Convert to fraction form
    3,047.01/4,570.16 = 855.93/x
  3. Step 3: Cross multiply
    3,047.01x = 4,570.16 × 855.93
  4. Step 4: Simplify right side
    3,047.01x = 3,911,712.06
  5. Step 5: Solve for x
    x = 3,911,712.06/3,047.01
  6. Step 6: Final answer
    x = 1,283.79

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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.