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Finding the Fourth Proportional to 3,587.98, 4,950.03 and 2,646

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Solution

The fourth proportional to 3,587.98, 4,950.03 and 2,646 is: 3,650.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.98 : 4,950.03 = 2,646 : x
  2. Step 2: Convert to fraction form
    3,587.98/4,950.03 = 2,646/x
  3. Step 3: Cross multiply
    3,587.98x = 4,950.03 × 2,646
  4. Step 4: Simplify right side
    3,587.98x = 13,097,779.38
  5. Step 5: Solve for x
    x = 13,097,779.38/3,587.98
  6. Step 6: Final answer
    x = 3,650.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.