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Finding the Fourth Proportional to 5,010.47, 7,509.19 and 2,045.44

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Solution

The fourth proportional to 5,010.47, 7,509.19 and 2,045.44 is: 3,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.47 : 7,509.19 = 2,045.44 : x
  2. Step 2: Convert to fraction form
    5,010.47/7,509.19 = 2,045.44/x
  3. Step 3: Cross multiply
    5,010.47x = 7,509.19 × 2,045.44
  4. Step 4: Simplify right side
    5,010.47x = 15,359,597.59
  5. Step 5: Solve for x
    x = 15,359,597.59/5,010.47
  6. Step 6: Final answer
    x = 3,065.50

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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.