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Finding the Fourth Proportional to 5,695.51, 8,543.04 and 1,746.61

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Solution

The fourth proportional to 5,695.51, 8,543.04 and 1,746.61 is: 2,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.51 : 8,543.04 = 1,746.61 : x
  2. Step 2: Convert to fraction form
    5,695.51/8,543.04 = 1,746.61/x
  3. Step 3: Cross multiply
    5,695.51x = 8,543.04 × 1,746.61
  4. Step 4: Simplify right side
    5,695.51x = 14,921,359.09
  5. Step 5: Solve for x
    x = 14,921,359.09/5,695.51
  6. Step 6: Final answer
    x = 2,619.85

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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.