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Finding the Fourth Proportional to 5,030.76, 7,534.74 and 2,686.62

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Solution

The fourth proportional to 5,030.76, 7,534.74 and 2,686.62 is: 4,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,030.76 : 7,534.74 = 2,686.62 : x
  2. Step 2: Convert to fraction form
    5,030.76/7,534.74 = 2,686.62/x
  3. Step 3: Cross multiply
    5,030.76x = 7,534.74 × 2,686.62
  4. Step 4: Simplify right side
    5,030.76x = 20,242,983.18
  5. Step 5: Solve for x
    x = 20,242,983.18/5,030.76
  6. Step 6: Final answer
    x = 4,023.84

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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.