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Finding the Fourth Proportional to 5,658.45, 7,803.91 and 3,642.18

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Solution

The fourth proportional to 5,658.45, 7,803.91 and 3,642.18 is: 5,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.45 : 7,803.91 = 3,642.18 : x
  2. Step 2: Convert to fraction form
    5,658.45/7,803.91 = 3,642.18/x
  3. Step 3: Cross multiply
    5,658.45x = 7,803.91 × 3,642.18
  4. Step 4: Simplify right side
    5,658.45x = 28,423,244.92
  5. Step 5: Solve for x
    x = 28,423,244.92/5,658.45
  6. Step 6: Final answer
    x = 5,023.15

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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.