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Finding the Fourth Proportional to 5,661.70, 8,492.93 and 1,501.66

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Solution

The fourth proportional to 5,661.70, 8,492.93 and 1,501.66 is: 2,252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.70 : 8,492.93 = 1,501.66 : x
  2. Step 2: Convert to fraction form
    5,661.70/8,492.93 = 1,501.66/x
  3. Step 3: Cross multiply
    5,661.70x = 8,492.93 × 1,501.66
  4. Step 4: Simplify right side
    5,661.70x = 12,753,443.29
  5. Step 5: Solve for x
    x = 12,753,443.29/5,661.70
  6. Step 6: Final answer
    x = 2,252.58

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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.