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Finding the Fourth Proportional to 4,988.76, 7,483.12 and 1,869

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Solution

The fourth proportional to 4,988.76, 7,483.12 and 1,869 is: 2,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,988.76 : 7,483.12 = 1,869 : x
  2. Step 2: Convert to fraction form
    4,988.76/7,483.12 = 1,869/x
  3. Step 3: Cross multiply
    4,988.76x = 7,483.12 × 1,869
  4. Step 4: Simplify right side
    4,988.76x = 13,985,951.28
  5. Step 5: Solve for x
    x = 13,985,951.28/4,988.76
  6. Step 6: Final answer
    x = 2,803.49

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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.