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Finding the Fourth Proportional to 4,598.78, 6,894.32 and 1,823.72

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Solution

The fourth proportional to 4,598.78, 6,894.32 and 1,823.72 is: 2,734.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.78 : 6,894.32 = 1,823.72 : x
  2. Step 2: Convert to fraction form
    4,598.78/6,894.32 = 1,823.72/x
  3. Step 3: Cross multiply
    4,598.78x = 6,894.32 × 1,823.72
  4. Step 4: Simplify right side
    4,598.78x = 12,573,265.68
  5. Step 5: Solve for x
    x = 12,573,265.68/4,598.78
  6. Step 6: Final answer
    x = 2,734.05

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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.