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Finding the Fourth Proportional to 5,100.17, 7,038.04 and 2,975.74

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Solution

The fourth proportional to 5,100.17, 7,038.04 and 2,975.74 is: 4,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.17 : 7,038.04 = 2,975.74 : x
  2. Step 2: Convert to fraction form
    5,100.17/7,038.04 = 2,975.74/x
  3. Step 3: Cross multiply
    5,100.17x = 7,038.04 × 2,975.74
  4. Step 4: Simplify right side
    5,100.17x = 20,943,357.69
  5. Step 5: Solve for x
    x = 20,943,357.69/5,100.17
  6. Step 6: Final answer
    x = 4,106.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.