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Finding the Fourth Proportional to 5,057.60, 7,586.44 and 1,547.64

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Solution

The fourth proportional to 5,057.60, 7,586.44 and 1,547.64 is: 2,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.60 : 7,586.44 = 1,547.64 : x
  2. Step 2: Convert to fraction form
    5,057.60/7,586.44 = 1,547.64/x
  3. Step 3: Cross multiply
    5,057.60x = 7,586.44 × 1,547.64
  4. Step 4: Simplify right side
    5,057.60x = 11,741,078.00
  5. Step 5: Solve for x
    x = 11,741,078.00/5,057.60
  6. Step 6: Final answer
    x = 2,321.47

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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.