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Finding the Fourth Proportional to 4,303, 5,934.90 and 2,978.92

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Solution

The fourth proportional to 4,303, 5,934.90 and 2,978.92 is: 4,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,303 : 5,934.90 = 2,978.92 : x
  2. Step 2: Convert to fraction form
    4,303/5,934.90 = 2,978.92/x
  3. Step 3: Cross multiply
    4,303x = 5,934.90 × 2,978.92
  4. Step 4: Simplify right side
    4,303x = 17,679,592.31
  5. Step 5: Solve for x
    x = 17,679,592.31/4,303
  6. Step 6: Final answer
    x = 4,108.67

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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.