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Finding the Fourth Proportional to 5,576.40, 7,710.24 and 4,876.16

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Solution

The fourth proportional to 5,576.40, 7,710.24 and 4,876.16 is: 6,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.40 : 7,710.24 = 4,876.16 : x
  2. Step 2: Convert to fraction form
    5,576.40/7,710.24 = 4,876.16/x
  3. Step 3: Cross multiply
    5,576.40x = 7,710.24 × 4,876.16
  4. Step 4: Simplify right side
    5,576.40x = 37,596,325.33
  5. Step 5: Solve for x
    x = 37,596,325.33/5,576.40
  6. Step 6: Final answer
    x = 6,742.04

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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.