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Finding the Fourth Proportional to 4,342.16, 6,513.23 and 1,055.25

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Solution

The fourth proportional to 4,342.16, 6,513.23 and 1,055.25 is: 1,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.16 : 6,513.23 = 1,055.25 : x
  2. Step 2: Convert to fraction form
    4,342.16/6,513.23 = 1,055.25/x
  3. Step 3: Cross multiply
    4,342.16x = 6,513.23 × 1,055.25
  4. Step 4: Simplify right side
    4,342.16x = 6,873,085.96
  5. Step 5: Solve for x
    x = 6,873,085.96/4,342.16
  6. Step 6: Final answer
    x = 1,582.87

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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.