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Finding the Fourth Proportional to 3,658.32, 5,047.12 and 2,400.07

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Solution

The fourth proportional to 3,658.32, 5,047.12 and 2,400.07 is: 3,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.32 : 5,047.12 = 2,400.07 : x
  2. Step 2: Convert to fraction form
    3,658.32/5,047.12 = 2,400.07/x
  3. Step 3: Cross multiply
    3,658.32x = 5,047.12 × 2,400.07
  4. Step 4: Simplify right side
    3,658.32x = 12,113,441.61
  5. Step 5: Solve for x
    x = 12,113,441.61/3,658.32
  6. Step 6: Final answer
    x = 3,311.21

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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.