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Finding the Fourth Proportional to 5,694.94, 8,545.66 and 4,547.98

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Solution

The fourth proportional to 5,694.94, 8,545.66 and 4,547.98 is: 6,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.94 : 8,545.66 = 4,547.98 : x
  2. Step 2: Convert to fraction form
    5,694.94/8,545.66 = 4,547.98/x
  3. Step 3: Cross multiply
    5,694.94x = 8,545.66 × 4,547.98
  4. Step 4: Simplify right side
    5,694.94x = 38,865,490.77
  5. Step 5: Solve for x
    x = 38,865,490.77/5,694.94
  6. Step 6: Final answer
    x = 6,824.57

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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.