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Finding the Fourth Proportional to 4,367.49, 6,547.32 and 1,593.63

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Solution

The fourth proportional to 4,367.49, 6,547.32 and 1,593.63 is: 2,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.49 : 6,547.32 = 1,593.63 : x
  2. Step 2: Convert to fraction form
    4,367.49/6,547.32 = 1,593.63/x
  3. Step 3: Cross multiply
    4,367.49x = 6,547.32 × 1,593.63
  4. Step 4: Simplify right side
    4,367.49x = 10,434,005.57
  5. Step 5: Solve for x
    x = 10,434,005.57/4,367.49
  6. Step 6: Final answer
    x = 2,389.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.