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Finding the Fourth Proportional to 4,973.94, 7,461.11 and 1,853.21

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Solution

The fourth proportional to 4,973.94, 7,461.11 and 1,853.21 is: 2,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.94 : 7,461.11 = 1,853.21 : x
  2. Step 2: Convert to fraction form
    4,973.94/7,461.11 = 1,853.21/x
  3. Step 3: Cross multiply
    4,973.94x = 7,461.11 × 1,853.21
  4. Step 4: Simplify right side
    4,973.94x = 13,827,026.95
  5. Step 5: Solve for x
    x = 13,827,026.95/4,973.94
  6. Step 6: Final answer
    x = 2,779.89

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Why These Related Problems?

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