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Finding the Fourth Proportional to 5,547.96, 8,323.20 and 1,652.04

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Solution

The fourth proportional to 5,547.96, 8,323.20 and 1,652.04 is: 2,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.96 : 8,323.20 = 1,652.04 : x
  2. Step 2: Convert to fraction form
    5,547.96/8,323.20 = 1,652.04/x
  3. Step 3: Cross multiply
    5,547.96x = 8,323.20 × 1,652.04
  4. Step 4: Simplify right side
    5,547.96x = 13,750,259.33
  5. Step 5: Solve for x
    x = 13,750,259.33/5,547.96
  6. Step 6: Final answer
    x = 2,478.44

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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.