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Finding the Fourth Proportional to 4,970.64, 6,859.13 and 2,732.46

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Solution

The fourth proportional to 4,970.64, 6,859.13 and 2,732.46 is: 3,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.64 : 6,859.13 = 2,732.46 : x
  2. Step 2: Convert to fraction form
    4,970.64/6,859.13 = 2,732.46/x
  3. Step 3: Cross multiply
    4,970.64x = 6,859.13 × 2,732.46
  4. Step 4: Simplify right side
    4,970.64x = 18,742,298.36
  5. Step 5: Solve for x
    x = 18,742,298.36/4,970.64
  6. Step 6: Final answer
    x = 3,770.60

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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.