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Finding the Fourth Proportional to 5,678.34, 7,834.90 and 3,320.02

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Solution

The fourth proportional to 5,678.34, 7,834.90 and 3,320.02 is: 4,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.34 : 7,834.90 = 3,320.02 : x
  2. Step 2: Convert to fraction form
    5,678.34/7,834.90 = 3,320.02/x
  3. Step 3: Cross multiply
    5,678.34x = 7,834.90 × 3,320.02
  4. Step 4: Simplify right side
    5,678.34x = 26,012,024.70
  5. Step 5: Solve for x
    x = 26,012,024.70/5,678.34
  6. Step 6: Final answer
    x = 4,580.92

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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.