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Finding the Fourth Proportional to 4,407.68, 6,637.90 and 4,014.02

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Solution

The fourth proportional to 4,407.68, 6,637.90 and 4,014.02 is: 6,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,407.68 : 6,637.90 = 4,014.02 : x
  2. Step 2: Convert to fraction form
    4,407.68/6,637.90 = 4,014.02/x
  3. Step 3: Cross multiply
    4,407.68x = 6,637.90 × 4,014.02
  4. Step 4: Simplify right side
    4,407.68x = 26,644,630.17
  5. Step 5: Solve for x
    x = 26,644,630.17/4,407.68
  6. Step 6: Final answer
    x = 6,045.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.