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Finding the Fourth Proportional to 4,374.74, 6,536.50 and 4,221.62

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Solution

The fourth proportional to 4,374.74, 6,536.50 and 4,221.62 is: 6,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,374.74 : 6,536.50 = 4,221.62 : x
  2. Step 2: Convert to fraction form
    4,374.74/6,536.50 = 4,221.62/x
  3. Step 3: Cross multiply
    4,374.74x = 6,536.50 × 4,221.62
  4. Step 4: Simplify right side
    4,374.74x = 27,594,619.13
  5. Step 5: Solve for x
    x = 27,594,619.13/4,374.74
  6. Step 6: Final answer
    x = 6,307.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.