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Finding the Fourth Proportional to 5,130.04, 7,091.41 and 4,576

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Solution

The fourth proportional to 5,130.04, 7,091.41 and 4,576 is: 6,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.04 : 7,091.41 = 4,576 : x
  2. Step 2: Convert to fraction form
    5,130.04/7,091.41 = 4,576/x
  3. Step 3: Cross multiply
    5,130.04x = 7,091.41 × 4,576
  4. Step 4: Simplify right side
    5,130.04x = 32,450,292.16
  5. Step 5: Solve for x
    x = 32,450,292.16/5,130.04
  6. Step 6: Final answer
    x = 6,325.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.