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Finding the Fourth Proportional to 4,588.64, 6,868.24 and 3,030

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Solution

The fourth proportional to 4,588.64, 6,868.24 and 3,030 is: 4,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.64 : 6,868.24 = 3,030 : x
  2. Step 2: Convert to fraction form
    4,588.64/6,868.24 = 3,030/x
  3. Step 3: Cross multiply
    4,588.64x = 6,868.24 × 3,030
  4. Step 4: Simplify right side
    4,588.64x = 20,810,767.20
  5. Step 5: Solve for x
    x = 20,810,767.20/4,588.64
  6. Step 6: Final answer
    x = 4,535.28

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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.