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Finding the Fourth Proportional to 4,646.35, 6,969.53 and 1,724.08

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Solution

The fourth proportional to 4,646.35, 6,969.53 and 1,724.08 is: 2,586.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.35 : 6,969.53 = 1,724.08 : x
  2. Step 2: Convert to fraction form
    4,646.35/6,969.53 = 1,724.08/x
  3. Step 3: Cross multiply
    4,646.35x = 6,969.53 × 1,724.08
  4. Step 4: Simplify right side
    4,646.35x = 12,015,983.81
  5. Step 5: Solve for x
    x = 12,015,983.81/4,646.35
  6. Step 6: Final answer
    x = 2,586.11

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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.