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Finding the Fourth Proportional to 4,748.32, 6,549.60 and 2,978.38

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Solution

The fourth proportional to 4,748.32, 6,549.60 and 2,978.38 is: 4,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.32 : 6,549.60 = 2,978.38 : x
  2. Step 2: Convert to fraction form
    4,748.32/6,549.60 = 2,978.38/x
  3. Step 3: Cross multiply
    4,748.32x = 6,549.60 × 2,978.38
  4. Step 4: Simplify right side
    4,748.32x = 19,507,197.65
  5. Step 5: Solve for x
    x = 19,507,197.65/4,748.32
  6. Step 6: Final answer
    x = 4,108.23

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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.