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Finding the Fourth Proportional to 4,316.50, 6,478.80 and 1,977.76

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Solution

The fourth proportional to 4,316.50, 6,478.80 and 1,977.76 is: 2,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.50 : 6,478.80 = 1,977.76 : x
  2. Step 2: Convert to fraction form
    4,316.50/6,478.80 = 1,977.76/x
  3. Step 3: Cross multiply
    4,316.50x = 6,478.80 × 1,977.76
  4. Step 4: Simplify right side
    4,316.50x = 12,813,511.49
  5. Step 5: Solve for x
    x = 12,813,511.49/4,316.50
  6. Step 6: Final answer
    x = 2,968.50

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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.