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Finding the Fourth Proportional to 5,101.16, 7,041.04 and 3,006.50

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Solution

The fourth proportional to 5,101.16, 7,041.04 and 3,006.50 is: 4,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.16 : 7,041.04 = 3,006.50 : x
  2. Step 2: Convert to fraction form
    5,101.16/7,041.04 = 3,006.50/x
  3. Step 3: Cross multiply
    5,101.16x = 7,041.04 × 3,006.50
  4. Step 4: Simplify right side
    5,101.16x = 21,168,886.76
  5. Step 5: Solve for x
    x = 21,168,886.76/5,101.16
  6. Step 6: Final answer
    x = 4,149.82

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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.