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Finding the Fourth Proportional to 5,132.61, 7,699.02 and 3,024.99

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Solution

The fourth proportional to 5,132.61, 7,699.02 and 3,024.99 is: 4,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.61 : 7,699.02 = 3,024.99 : x
  2. Step 2: Convert to fraction form
    5,132.61/7,699.02 = 3,024.99/x
  3. Step 3: Cross multiply
    5,132.61x = 7,699.02 × 3,024.99
  4. Step 4: Simplify right side
    5,132.61x = 23,289,458.51
  5. Step 5: Solve for x
    x = 23,289,458.51/5,132.61
  6. Step 6: Final answer
    x = 4,537.55

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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.