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Finding the Fourth Proportional to 5,681.50, 8,509.03 and 5,484.40

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Solution

The fourth proportional to 5,681.50, 8,509.03 and 5,484.40 is: 8,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.50 : 8,509.03 = 5,484.40 : x
  2. Step 2: Convert to fraction form
    5,681.50/8,509.03 = 5,484.40/x
  3. Step 3: Cross multiply
    5,681.50x = 8,509.03 × 5,484.40
  4. Step 4: Simplify right side
    5,681.50x = 46,666,941.62
  5. Step 5: Solve for x
    x = 46,666,941.62/5,681.50
  6. Step 6: Final answer
    x = 8,213.85

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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.