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Finding the Fourth Proportional to 4,597.52, 6,891.55 and 1,823.06

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Solution

The fourth proportional to 4,597.52, 6,891.55 and 1,823.06 is: 2,732.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.52 : 6,891.55 = 1,823.06 : x
  2. Step 2: Convert to fraction form
    4,597.52/6,891.55 = 1,823.06/x
  3. Step 3: Cross multiply
    4,597.52x = 6,891.55 × 1,823.06
  4. Step 4: Simplify right side
    4,597.52x = 12,563,721.81
  5. Step 5: Solve for x
    x = 12,563,721.81/4,597.52
  6. Step 6: Final answer
    x = 2,732.72

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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.