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Finding the Fourth Proportional to 4,649.08, 6,973.50 and 1,139.08

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Solution

The fourth proportional to 4,649.08, 6,973.50 and 1,139.08 is: 1,708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.08 : 6,973.50 = 1,139.08 : x
  2. Step 2: Convert to fraction form
    4,649.08/6,973.50 = 1,139.08/x
  3. Step 3: Cross multiply
    4,649.08x = 6,973.50 × 1,139.08
  4. Step 4: Simplify right side
    4,649.08x = 7,943,374.38
  5. Step 5: Solve for x
    x = 7,943,374.38/4,649.08
  6. Step 6: Final answer
    x = 1,708.59

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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.