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Finding the Fourth Proportional to 6,701.58, 10,058.58 and 3,417.14

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Solution

The fourth proportional to 6,701.58, 10,058.58 and 3,417.14 is: 5,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.58 : 10,058.58 = 3,417.14 : x
  2. Step 2: Convert to fraction form
    6,701.58/10,058.58 = 3,417.14/x
  3. Step 3: Cross multiply
    6,701.58x = 10,058.58 × 3,417.14
  4. Step 4: Simplify right side
    6,701.58x = 34,371,576.06
  5. Step 5: Solve for x
    x = 34,371,576.06/6,701.58
  6. Step 6: Final answer
    x = 5,128.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.