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Finding the Fourth Proportional to 5,669.16, 8,492.70 and 3,715.44

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Solution

The fourth proportional to 5,669.16, 8,492.70 and 3,715.44 is: 5,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.16 : 8,492.70 = 3,715.44 : x
  2. Step 2: Convert to fraction form
    5,669.16/8,492.70 = 3,715.44/x
  3. Step 3: Cross multiply
    5,669.16x = 8,492.70 × 3,715.44
  4. Step 4: Simplify right side
    5,669.16x = 31,554,117.29
  5. Step 5: Solve for x
    x = 31,554,117.29/5,669.16
  6. Step 6: Final answer
    x = 5,565.92

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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.