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Finding the Fourth Proportional to 5,116.52, 7,675.86 and 1,653.50

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Solution

The fourth proportional to 5,116.52, 7,675.86 and 1,653.50 is: 2,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.52 : 7,675.86 = 1,653.50 : x
  2. Step 2: Convert to fraction form
    5,116.52/7,675.86 = 1,653.50/x
  3. Step 3: Cross multiply
    5,116.52x = 7,675.86 × 1,653.50
  4. Step 4: Simplify right side
    5,116.52x = 12,692,034.51
  5. Step 5: Solve for x
    x = 12,692,034.51/5,116.52
  6. Step 6: Final answer
    x = 2,480.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.