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Finding the Fourth Proportional to 5,949.60, 8,929.88 and 3,030

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Solution

The fourth proportional to 5,949.60, 8,929.88 and 3,030 is: 4,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.60 : 8,929.88 = 3,030 : x
  2. Step 2: Convert to fraction form
    5,949.60/8,929.88 = 3,030/x
  3. Step 3: Cross multiply
    5,949.60x = 8,929.88 × 3,030
  4. Step 4: Simplify right side
    5,949.60x = 27,057,536.40
  5. Step 5: Solve for x
    x = 27,057,536.40/5,949.60
  6. Step 6: Final answer
    x = 4,547.79

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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.