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Finding the Fourth Proportional to 4,649.66, 6,416.55 and 2,735.00

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Solution

The fourth proportional to 4,649.66, 6,416.55 and 2,735.00 is: 3,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.66 : 6,416.55 = 2,735.00 : x
  2. Step 2: Convert to fraction form
    4,649.66/6,416.55 = 2,735.00/x
  3. Step 3: Cross multiply
    4,649.66x = 6,416.55 × 2,735.00
  4. Step 4: Simplify right side
    4,649.66x = 17,549,218.49
  5. Step 5: Solve for x
    x = 17,549,218.49/4,649.66
  6. Step 6: Final answer
    x = 3,774.30

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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.