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Finding the Fourth Proportional to 5,102.10, 7,653.15 and 3,024.45

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Solution

The fourth proportional to 5,102.10, 7,653.15 and 3,024.45 is: 4,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.10 : 7,653.15 = 3,024.45 : x
  2. Step 2: Convert to fraction form
    5,102.10/7,653.15 = 3,024.45/x
  3. Step 3: Cross multiply
    5,102.10x = 7,653.15 × 3,024.45
  4. Step 4: Simplify right side
    5,102.10x = 23,146,569.52
  5. Step 5: Solve for x
    x = 23,146,569.52/5,102.10
  6. Step 6: Final answer
    x = 4,536.68

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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.