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Finding the Fourth Proportional to 5,894.04, 8,841.48 and 1,734.72

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Solution

The fourth proportional to 5,894.04, 8,841.48 and 1,734.72 is: 2,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.04 : 8,841.48 = 1,734.72 : x
  2. Step 2: Convert to fraction form
    5,894.04/8,841.48 = 1,734.72/x
  3. Step 3: Cross multiply
    5,894.04x = 8,841.48 × 1,734.72
  4. Step 4: Simplify right side
    5,894.04x = 15,337,492.19
  5. Step 5: Solve for x
    x = 15,337,492.19/5,894.04
  6. Step 6: Final answer
    x = 2,602.20

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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.