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Finding the Fourth Proportional to 3,116.89, 4,675.32 and 1,064.89

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Solution

The fourth proportional to 3,116.89, 4,675.32 and 1,064.89 is: 1,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.89 : 4,675.32 = 1,064.89 : x
  2. Step 2: Convert to fraction form
    3,116.89/4,675.32 = 1,064.89/x
  3. Step 3: Cross multiply
    3,116.89x = 4,675.32 × 1,064.89
  4. Step 4: Simplify right side
    3,116.89x = 4,978,701.51
  5. Step 5: Solve for x
    x = 4,978,701.51/3,116.89
  6. Step 6: Final answer
    x = 1,597.33

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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.