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Finding the Fourth Proportional to 5,053.57, 6,968.35 and 3,460.48

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Solution

The fourth proportional to 5,053.57, 6,968.35 and 3,460.48 is: 4,771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.57 : 6,968.35 = 3,460.48 : x
  2. Step 2: Convert to fraction form
    5,053.57/6,968.35 = 3,460.48/x
  3. Step 3: Cross multiply
    5,053.57x = 6,968.35 × 3,460.48
  4. Step 4: Simplify right side
    5,053.57x = 24,113,783.66
  5. Step 5: Solve for x
    x = 24,113,783.66/5,053.57
  6. Step 6: Final answer
    x = 4,771.64

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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.