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Finding the Fourth Proportional to 5,606.08, 8,407.72 and 2,320.08

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Solution

The fourth proportional to 5,606.08, 8,407.72 and 2,320.08 is: 3,479.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.08 : 8,407.72 = 2,320.08 : x
  2. Step 2: Convert to fraction form
    5,606.08/8,407.72 = 2,320.08/x
  3. Step 3: Cross multiply
    5,606.08x = 8,407.72 × 2,320.08
  4. Step 4: Simplify right side
    5,606.08x = 19,506,583.02
  5. Step 5: Solve for x
    x = 19,506,583.02/5,606.08
  6. Step 6: Final answer
    x = 3,479.54

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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.