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Finding the Fourth Proportional to 5,580.69, 8,362.13 and 2,948.08

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Solution

The fourth proportional to 5,580.69, 8,362.13 and 2,948.08 is: 4,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.69 : 8,362.13 = 2,948.08 : x
  2. Step 2: Convert to fraction form
    5,580.69/8,362.13 = 2,948.08/x
  3. Step 3: Cross multiply
    5,580.69x = 8,362.13 × 2,948.08
  4. Step 4: Simplify right side
    5,580.69x = 24,652,228.21
  5. Step 5: Solve for x
    x = 24,652,228.21/5,580.69
  6. Step 6: Final answer
    x = 4,417.42

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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.