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Finding the Fourth Proportional to 5,658.20, 7,809.14 and 3,420.40

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Solution

The fourth proportional to 5,658.20, 7,809.14 and 3,420.40 is: 4,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.20 : 7,809.14 = 3,420.40 : x
  2. Step 2: Convert to fraction form
    5,658.20/7,809.14 = 3,420.40/x
  3. Step 3: Cross multiply
    5,658.20x = 7,809.14 × 3,420.40
  4. Step 4: Simplify right side
    5,658.20x = 26,710,382.46
  5. Step 5: Solve for x
    x = 26,710,382.46/5,658.20
  6. Step 6: Final answer
    x = 4,720.65

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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.