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Finding the Fourth Proportional to 4,656.93, 6,985.50 and 3,728.19

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Solution

The fourth proportional to 4,656.93, 6,985.50 and 3,728.19 is: 5,592.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.93 : 6,985.50 = 3,728.19 : x
  2. Step 2: Convert to fraction form
    4,656.93/6,985.50 = 3,728.19/x
  3. Step 3: Cross multiply
    4,656.93x = 6,985.50 × 3,728.19
  4. Step 4: Simplify right side
    4,656.93x = 26,043,271.25
  5. Step 5: Solve for x
    x = 26,043,271.25/4,656.93
  6. Step 6: Final answer
    x = 5,592.37

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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.