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Finding the Fourth Proportional to 4,301.58, 6,455.52 and 1,705.26

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Solution

The fourth proportional to 4,301.58, 6,455.52 and 1,705.26 is: 2,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.58 : 6,455.52 = 1,705.26 : x
  2. Step 2: Convert to fraction form
    4,301.58/6,455.52 = 1,705.26/x
  3. Step 3: Cross multiply
    4,301.58x = 6,455.52 × 1,705.26
  4. Step 4: Simplify right side
    4,301.58x = 11,008,340.04
  5. Step 5: Solve for x
    x = 11,008,340.04/4,301.58
  6. Step 6: Final answer
    x = 2,559.14

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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.