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Finding the Fourth Proportional to 4,591.10, 6,878.46 and 3,125

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Solution

The fourth proportional to 4,591.10, 6,878.46 and 3,125 is: 4,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.10 : 6,878.46 = 3,125 : x
  2. Step 2: Convert to fraction form
    4,591.10/6,878.46 = 3,125/x
  3. Step 3: Cross multiply
    4,591.10x = 6,878.46 × 3,125
  4. Step 4: Simplify right side
    4,591.10x = 21,495,187.50
  5. Step 5: Solve for x
    x = 21,495,187.50/4,591.10
  6. Step 6: Final answer
    x = 4,681.93

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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.