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Finding the Fourth Proportional to 6,154.39, 8,492.95 and 3,501.74

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Solution

The fourth proportional to 6,154.39, 8,492.95 and 3,501.74 is: 4,832.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.39 : 8,492.95 = 3,501.74 : x
  2. Step 2: Convert to fraction form
    6,154.39/8,492.95 = 3,501.74/x
  3. Step 3: Cross multiply
    6,154.39x = 8,492.95 × 3,501.74
  4. Step 4: Simplify right side
    6,154.39x = 29,740,128.34
  5. Step 5: Solve for x
    x = 29,740,128.34/6,154.39
  6. Step 6: Final answer
    x = 4,832.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.