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Finding the Fourth Proportional to 4,462.83, 6,159.65 and 2,970.81

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Solution

The fourth proportional to 4,462.83, 6,159.65 and 2,970.81 is: 4,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.83 : 6,159.65 = 2,970.81 : x
  2. Step 2: Convert to fraction form
    4,462.83/6,159.65 = 2,970.81/x
  3. Step 3: Cross multiply
    4,462.83x = 6,159.65 × 2,970.81
  4. Step 4: Simplify right side
    4,462.83x = 18,299,134.96
  5. Step 5: Solve for x
    x = 18,299,134.96/4,462.83
  6. Step 6: Final answer
    x = 4,100.34

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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.