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Finding the Fourth Proportional to 5,266.08, 7,904.81 and 4,684.80

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Solution

The fourth proportional to 5,266.08, 7,904.81 and 4,684.80 is: 7,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.08 : 7,904.81 = 4,684.80 : x
  2. Step 2: Convert to fraction form
    5,266.08/7,904.81 = 4,684.80/x
  3. Step 3: Cross multiply
    5,266.08x = 7,904.81 × 4,684.80
  4. Step 4: Simplify right side
    5,266.08x = 37,032,468.89
  5. Step 5: Solve for x
    x = 37,032,468.89/5,266.08
  6. Step 6: Final answer
    x = 7,032.26

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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.