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Finding the Fourth Proportional to 4,713.69, 7,070.52 and 1,203.69

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Solution

The fourth proportional to 4,713.69, 7,070.52 and 1,203.69 is: 1,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.69 : 7,070.52 = 1,203.69 : x
  2. Step 2: Convert to fraction form
    4,713.69/7,070.52 = 1,203.69/x
  3. Step 3: Cross multiply
    4,713.69x = 7,070.52 × 1,203.69
  4. Step 4: Simplify right side
    4,713.69x = 8,510,714.22
  5. Step 5: Solve for x
    x = 8,510,714.22/4,713.69
  6. Step 6: Final answer
    x = 1,805.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.