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Finding the Fourth Proportional to 5,913.24, 8,852.15 and 5,702.95

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Solution

The fourth proportional to 5,913.24, 8,852.15 and 5,702.95 is: 8,537.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.24 : 8,852.15 = 5,702.95 : x
  2. Step 2: Convert to fraction form
    5,913.24/8,852.15 = 5,702.95/x
  3. Step 3: Cross multiply
    5,913.24x = 8,852.15 × 5,702.95
  4. Step 4: Simplify right side
    5,913.24x = 50,483,391.89
  5. Step 5: Solve for x
    x = 50,483,391.89/5,913.24
  6. Step 6: Final answer
    x = 8,537.34

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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.