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Finding the Fourth Proportional to 5,483.79, 8,225.48 and 1,535.04

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Solution

The fourth proportional to 5,483.79, 8,225.48 and 1,535.04 is: 2,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.79 : 8,225.48 = 1,535.04 : x
  2. Step 2: Convert to fraction form
    5,483.79/8,225.48 = 1,535.04/x
  3. Step 3: Cross multiply
    5,483.79x = 8,225.48 × 1,535.04
  4. Step 4: Simplify right side
    5,483.79x = 12,626,433.14
  5. Step 5: Solve for x
    x = 12,626,433.14/5,483.79
  6. Step 6: Final answer
    x = 2,302.50

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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.