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Finding the Fourth Proportional to 5,567.68, 7,684.14 and 3,210.04

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Solution

The fourth proportional to 5,567.68, 7,684.14 and 3,210.04 is: 4,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,567.68 : 7,684.14 = 3,210.04 : x
  2. Step 2: Convert to fraction form
    5,567.68/7,684.14 = 3,210.04/x
  3. Step 3: Cross multiply
    5,567.68x = 7,684.14 × 3,210.04
  4. Step 4: Simplify right side
    5,567.68x = 24,666,396.77
  5. Step 5: Solve for x
    x = 24,666,396.77/5,567.68
  6. Step 6: Final answer
    x = 4,430.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.