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Finding the Fourth Proportional to 5,374.69, 7,417.14 and 2,984.72

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Solution

The fourth proportional to 5,374.69, 7,417.14 and 2,984.72 is: 4,118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,374.69 : 7,417.14 = 2,984.72 : x
  2. Step 2: Convert to fraction form
    5,374.69/7,417.14 = 2,984.72/x
  3. Step 3: Cross multiply
    5,374.69x = 7,417.14 × 2,984.72
  4. Step 4: Simplify right side
    5,374.69x = 22,138,037.82
  5. Step 5: Solve for x
    x = 22,138,037.82/5,374.69
  6. Step 6: Final answer
    x = 4,118.94

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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.