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Finding the Fourth Proportional to 5,695.55, 8,543.79 and 1,746.68

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Solution

The fourth proportional to 5,695.55, 8,543.79 and 1,746.68 is: 2,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.55 : 8,543.79 = 1,746.68 : x
  2. Step 2: Convert to fraction form
    5,695.55/8,543.79 = 1,746.68/x
  3. Step 3: Cross multiply
    5,695.55x = 8,543.79 × 1,746.68
  4. Step 4: Simplify right side
    5,695.55x = 14,923,267.12
  5. Step 5: Solve for x
    x = 14,923,267.12/5,695.55
  6. Step 6: Final answer
    x = 2,620.16

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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.