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Finding the Fourth Proportional to 5,341.25, 8,011.88 and 1,878.50

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Solution

The fourth proportional to 5,341.25, 8,011.88 and 1,878.50 is: 2,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.25 : 8,011.88 = 1,878.50 : x
  2. Step 2: Convert to fraction form
    5,341.25/8,011.88 = 1,878.50/x
  3. Step 3: Cross multiply
    5,341.25x = 8,011.88 × 1,878.50
  4. Step 4: Simplify right side
    5,341.25x = 15,050,316.58
  5. Step 5: Solve for x
    x = 15,050,316.58/5,341.25
  6. Step 6: Final answer
    x = 2,817.75

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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.