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Finding the Fourth Proportional to 5,730.19, 7,907.64 and 3,492.07

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Solution

The fourth proportional to 5,730.19, 7,907.64 and 3,492.07 is: 4,819.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.19 : 7,907.64 = 3,492.07 : x
  2. Step 2: Convert to fraction form
    5,730.19/7,907.64 = 3,492.07/x
  3. Step 3: Cross multiply
    5,730.19x = 7,907.64 × 3,492.07
  4. Step 4: Simplify right side
    5,730.19x = 27,613,992.88
  5. Step 5: Solve for x
    x = 27,613,992.88/5,730.19
  6. Step 6: Final answer
    x = 4,819.04

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