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Finding the Fourth Proportional to 4,661.03, 6,430.64 and 3,068.57

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Solution

The fourth proportional to 4,661.03, 6,430.64 and 3,068.57 is: 4,233.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.03 : 6,430.64 = 3,068.57 : x
  2. Step 2: Convert to fraction form
    4,661.03/6,430.64 = 3,068.57/x
  3. Step 3: Cross multiply
    4,661.03x = 6,430.64 × 3,068.57
  4. Step 4: Simplify right side
    4,661.03x = 19,732,821.49
  5. Step 5: Solve for x
    x = 19,732,821.49/4,661.03
  6. Step 6: Final answer
    x = 4,233.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.