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Finding the Fourth Proportional to 3,005.64, 4,518.54 and 2,461.86

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Solution

The fourth proportional to 3,005.64, 4,518.54 and 2,461.86 is: 3,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.64 : 4,518.54 = 2,461.86 : x
  2. Step 2: Convert to fraction form
    3,005.64/4,518.54 = 2,461.86/x
  3. Step 3: Cross multiply
    3,005.64x = 4,518.54 × 2,461.86
  4. Step 4: Simplify right side
    3,005.64x = 11,124,012.88
  5. Step 5: Solve for x
    x = 11,124,012.88/3,005.64
  6. Step 6: Final answer
    x = 3,701.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.