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Finding the Fourth Proportional to 5,702.78, 7,869.75 and 3,184.93

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Solution

The fourth proportional to 5,702.78, 7,869.75 and 3,184.93 is: 4,395.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.78 : 7,869.75 = 3,184.93 : x
  2. Step 2: Convert to fraction form
    5,702.78/7,869.75 = 3,184.93/x
  3. Step 3: Cross multiply
    5,702.78x = 7,869.75 × 3,184.93
  4. Step 4: Simplify right side
    5,702.78x = 25,064,583.19
  5. Step 5: Solve for x
    x = 25,064,583.19/5,702.78
  6. Step 6: Final answer
    x = 4,395.16

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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.