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Finding the Fourth Proportional to 5,693.68, 8,547 and 3,390.04

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Solution

The fourth proportional to 5,693.68, 8,547 and 3,390.04 is: 5,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.68 : 8,547 = 3,390.04 : x
  2. Step 2: Convert to fraction form
    5,693.68/8,547 = 3,390.04/x
  3. Step 3: Cross multiply
    5,693.68x = 8,547 × 3,390.04
  4. Step 4: Simplify right side
    5,693.68x = 28,974,671.88
  5. Step 5: Solve for x
    x = 28,974,671.88/5,693.68
  6. Step 6: Final answer
    x = 5,088.92

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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.