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Finding the Fourth Proportional to 4,656.84, 6,985.92 and 1,369.48

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Solution

The fourth proportional to 4,656.84, 6,985.92 and 1,369.48 is: 2,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.84 : 6,985.92 = 1,369.48 : x
  2. Step 2: Convert to fraction form
    4,656.84/6,985.92 = 1,369.48/x
  3. Step 3: Cross multiply
    4,656.84x = 6,985.92 × 1,369.48
  4. Step 4: Simplify right side
    4,656.84x = 9,567,077.72
  5. Step 5: Solve for x
    x = 9,567,077.72/4,656.84
  6. Step 6: Final answer
    x = 2,054.41

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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.