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Finding the Fourth Proportional to 4,690.38, 7,034.53 and 1,403.05

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Solution

The fourth proportional to 4,690.38, 7,034.53 and 1,403.05 is: 2,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.38 : 7,034.53 = 1,403.05 : x
  2. Step 2: Convert to fraction form
    4,690.38/7,034.53 = 1,403.05/x
  3. Step 3: Cross multiply
    4,690.38x = 7,034.53 × 1,403.05
  4. Step 4: Simplify right side
    4,690.38x = 9,869,802.60
  5. Step 5: Solve for x
    x = 9,869,802.60/4,690.38
  6. Step 6: Final answer
    x = 2,104.26

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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.