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Finding the Fourth Proportional to 4,544.64, 6,816.96 and 1,258.08

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Solution

The fourth proportional to 4,544.64, 6,816.96 and 1,258.08 is: 1,887.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,544.64 : 6,816.96 = 1,258.08 : x
  2. Step 2: Convert to fraction form
    4,544.64/6,816.96 = 1,258.08/x
  3. Step 3: Cross multiply
    4,544.64x = 6,816.96 × 1,258.08
  4. Step 4: Simplify right side
    4,544.64x = 8,576,281.04
  5. Step 5: Solve for x
    x = 8,576,281.04/4,544.64
  6. Step 6: Final answer
    x = 1,887.12

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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.