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Finding the Fourth Proportional to 4,830.32, 7,214.44 and 4,090.40

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Solution

The fourth proportional to 4,830.32, 7,214.44 and 4,090.40 is: 6,109.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.32 : 7,214.44 = 4,090.40 : x
  2. Step 2: Convert to fraction form
    4,830.32/7,214.44 = 4,090.40/x
  3. Step 3: Cross multiply
    4,830.32x = 7,214.44 × 4,090.40
  4. Step 4: Simplify right side
    4,830.32x = 29,509,945.38
  5. Step 5: Solve for x
    x = 29,509,945.38/4,830.32
  6. Step 6: Final answer
    x = 6,109.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.