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Finding the Fourth Proportional to 4,703.09, 7,053.47 and 1,930.53

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Solution

The fourth proportional to 4,703.09, 7,053.47 and 1,930.53 is: 2,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.09 : 7,053.47 = 1,930.53 : x
  2. Step 2: Convert to fraction form
    4,703.09/7,053.47 = 1,930.53/x
  3. Step 3: Cross multiply
    4,703.09x = 7,053.47 × 1,930.53
  4. Step 4: Simplify right side
    4,703.09x = 13,616,935.44
  5. Step 5: Solve for x
    x = 13,616,935.44/4,703.09
  6. Step 6: Final answer
    x = 2,895.32

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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.