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Finding the Fourth Proportional to 5,154, 7,762.08 and 4,576.32

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Solution

The fourth proportional to 5,154, 7,762.08 and 4,576.32 is: 6,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154 : 7,762.08 = 4,576.32 : x
  2. Step 2: Convert to fraction form
    5,154/7,762.08 = 4,576.32/x
  3. Step 3: Cross multiply
    5,154x = 7,762.08 × 4,576.32
  4. Step 4: Simplify right side
    5,154x = 35,521,761.95
  5. Step 5: Solve for x
    x = 35,521,761.95/5,154
  6. Step 6: Final answer
    x = 6,892.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.