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Finding the Fourth Proportional to 5,113.74, 7,056.80 and 2,875.71

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Solution

The fourth proportional to 5,113.74, 7,056.80 and 2,875.71 is: 3,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.74 : 7,056.80 = 2,875.71 : x
  2. Step 2: Convert to fraction form
    5,113.74/7,056.80 = 2,875.71/x
  3. Step 3: Cross multiply
    5,113.74x = 7,056.80 × 2,875.71
  4. Step 4: Simplify right side
    5,113.74x = 20,293,260.67
  5. Step 5: Solve for x
    x = 20,293,260.67/5,113.74
  6. Step 6: Final answer
    x = 3,968.38

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Why These Related Problems?

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