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Finding the Fourth Proportional to 4,871.60, 6,724.28 and 4,215.50

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Solution

The fourth proportional to 4,871.60, 6,724.28 and 4,215.50 is: 5,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.60 : 6,724.28 = 4,215.50 : x
  2. Step 2: Convert to fraction form
    4,871.60/6,724.28 = 4,215.50/x
  3. Step 3: Cross multiply
    4,871.60x = 6,724.28 × 4,215.50
  4. Step 4: Simplify right side
    4,871.60x = 28,346,202.34
  5. Step 5: Solve for x
    x = 28,346,202.34/4,871.60
  6. Step 6: Final answer
    x = 5,818.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.