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Finding the Fourth Proportional to 4,907.46, 7,363.41 and 4,492.18

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Solution

The fourth proportional to 4,907.46, 7,363.41 and 4,492.18 is: 6,740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.46 : 7,363.41 = 4,492.18 : x
  2. Step 2: Convert to fraction form
    4,907.46/7,363.41 = 4,492.18/x
  3. Step 3: Cross multiply
    4,907.46x = 7,363.41 × 4,492.18
  4. Step 4: Simplify right side
    4,907.46x = 33,077,763.13
  5. Step 5: Solve for x
    x = 33,077,763.13/4,907.46
  6. Step 6: Final answer
    x = 6,740.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.