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Finding the Fourth Proportional to 5,298.03, 7,314.57 and 3,412.86

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Solution

The fourth proportional to 5,298.03, 7,314.57 and 3,412.86 is: 4,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.03 : 7,314.57 = 3,412.86 : x
  2. Step 2: Convert to fraction form
    5,298.03/7,314.57 = 3,412.86/x
  3. Step 3: Cross multiply
    5,298.03x = 7,314.57 × 3,412.86
  4. Step 4: Simplify right side
    5,298.03x = 24,963,575.94
  5. Step 5: Solve for x
    x = 24,963,575.94/5,298.03
  6. Step 6: Final answer
    x = 4,711.86

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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.