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Finding the Fourth Proportional to 5,380.52, 8,068.35 and 5,210.42

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Solution

The fourth proportional to 5,380.52, 8,068.35 and 5,210.42 is: 7,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.52 : 8,068.35 = 5,210.42 : x
  2. Step 2: Convert to fraction form
    5,380.52/8,068.35 = 5,210.42/x
  3. Step 3: Cross multiply
    5,380.52x = 8,068.35 × 5,210.42
  4. Step 4: Simplify right side
    5,380.52x = 42,039,492.21
  5. Step 5: Solve for x
    x = 42,039,492.21/5,380.52
  6. Step 6: Final answer
    x = 7,813.28

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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.