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Finding the Fourth Proportional to 5,695.30, 8,512.88 and 4,949.02

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Solution

The fourth proportional to 5,695.30, 8,512.88 and 4,949.02 is: 7,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.30 : 8,512.88 = 4,949.02 : x
  2. Step 2: Convert to fraction form
    5,695.30/8,512.88 = 4,949.02/x
  3. Step 3: Cross multiply
    5,695.30x = 8,512.88 × 4,949.02
  4. Step 4: Simplify right side
    5,695.30x = 42,130,413.38
  5. Step 5: Solve for x
    x = 42,130,413.38/5,695.30
  6. Step 6: Final answer
    x = 7,397.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.