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Finding the Fourth Proportional to 4,657.70, 6,978.34 and 2,461.60

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Solution

The fourth proportional to 4,657.70, 6,978.34 and 2,461.60 is: 3,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.70 : 6,978.34 = 2,461.60 : x
  2. Step 2: Convert to fraction form
    4,657.70/6,978.34 = 2,461.60/x
  3. Step 3: Cross multiply
    4,657.70x = 6,978.34 × 2,461.60
  4. Step 4: Simplify right side
    4,657.70x = 17,177,881.74
  5. Step 5: Solve for x
    x = 17,177,881.74/4,657.70
  6. Step 6: Final answer
    x = 3,688.06

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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.