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Finding the Fourth Proportional to 4,090.08, 5,645.76 and 4,038.24

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Solution

The fourth proportional to 4,090.08, 5,645.76 and 4,038.24 is: 5,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.08 : 5,645.76 = 4,038.24 : x
  2. Step 2: Convert to fraction form
    4,090.08/5,645.76 = 4,038.24/x
  3. Step 3: Cross multiply
    4,090.08x = 5,645.76 × 4,038.24
  4. Step 4: Simplify right side
    4,090.08x = 22,798,933.86
  5. Step 5: Solve for x
    x = 22,798,933.86/4,090.08
  6. Step 6: Final answer
    x = 5,574.20

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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.