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Finding the Fourth Proportional to 5,278.34, 7,284.09 and 2,920.47

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Solution

The fourth proportional to 5,278.34, 7,284.09 and 2,920.47 is: 4,030.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.34 : 7,284.09 = 2,920.47 : x
  2. Step 2: Convert to fraction form
    5,278.34/7,284.09 = 2,920.47/x
  3. Step 3: Cross multiply
    5,278.34x = 7,284.09 × 2,920.47
  4. Step 4: Simplify right side
    5,278.34x = 21,272,966.32
  5. Step 5: Solve for x
    x = 21,272,966.32/5,278.34
  6. Step 6: Final answer
    x = 4,030.24

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