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Finding the Fourth Proportional to 4,497.81, 6,746.58 and 2,157.99

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Solution

The fourth proportional to 4,497.81, 6,746.58 and 2,157.99 is: 3,236.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.81 : 6,746.58 = 2,157.99 : x
  2. Step 2: Convert to fraction form
    4,497.81/6,746.58 = 2,157.99/x
  3. Step 3: Cross multiply
    4,497.81x = 6,746.58 × 2,157.99
  4. Step 4: Simplify right side
    4,497.81x = 14,559,052.17
  5. Step 5: Solve for x
    x = 14,559,052.17/4,497.81
  6. Step 6: Final answer
    x = 3,236.92

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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.