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Finding the Fourth Proportional to 4,978.02, 7,466.76 and 1,515

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Solution

The fourth proportional to 4,978.02, 7,466.76 and 1,515 is: 2,272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.02 : 7,466.76 = 1,515 : x
  2. Step 2: Convert to fraction form
    4,978.02/7,466.76 = 1,515/x
  3. Step 3: Cross multiply
    4,978.02x = 7,466.76 × 1,515
  4. Step 4: Simplify right side
    4,978.02x = 11,312,141.40
  5. Step 5: Solve for x
    x = 11,312,141.40/4,978.02
  6. Step 6: Final answer
    x = 2,272.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.