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Finding the Fourth Proportional to 3,646.64, 5,029.98 and 2,899.46

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Solution

The fourth proportional to 3,646.64, 5,029.98 and 2,899.46 is: 3,999.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.64 : 5,029.98 = 2,899.46 : x
  2. Step 2: Convert to fraction form
    3,646.64/5,029.98 = 2,899.46/x
  3. Step 3: Cross multiply
    3,646.64x = 5,029.98 × 2,899.46
  4. Step 4: Simplify right side
    3,646.64x = 14,584,225.81
  5. Step 5: Solve for x
    x = 14,584,225.81/3,646.64
  6. Step 6: Final answer
    x = 3,999.36

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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.