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Finding the Fourth Proportional to 5,071.48, 7,608.80 and 1,784.64

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Solution

The fourth proportional to 5,071.48, 7,608.80 and 1,784.64 is: 2,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.48 : 7,608.80 = 1,784.64 : x
  2. Step 2: Convert to fraction form
    5,071.48/7,608.80 = 1,784.64/x
  3. Step 3: Cross multiply
    5,071.48x = 7,608.80 × 1,784.64
  4. Step 4: Simplify right side
    5,071.48x = 13,578,968.83
  5. Step 5: Solve for x
    x = 13,578,968.83/5,071.48
  6. Step 6: Final answer
    x = 2,677.52

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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.