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Finding the Fourth Proportional to 5,587.50, 8,381.25 and 1,483.50

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Solution

The fourth proportional to 5,587.50, 8,381.25 and 1,483.50 is: 2,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.50 : 8,381.25 = 1,483.50 : x
  2. Step 2: Convert to fraction form
    5,587.50/8,381.25 = 1,483.50/x
  3. Step 3: Cross multiply
    5,587.50x = 8,381.25 × 1,483.50
  4. Step 4: Simplify right side
    5,587.50x = 12,433,584.38
  5. Step 5: Solve for x
    x = 12,433,584.38/5,587.50
  6. Step 6: Final answer
    x = 2,225.25

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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.