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Finding the Fourth Proportional to 5,870.76, 8,101.74 and 3,513

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Solution

The fourth proportional to 5,870.76, 8,101.74 and 3,513 is: 4,847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870.76 : 8,101.74 = 3,513 : x
  2. Step 2: Convert to fraction form
    5,870.76/8,101.74 = 3,513/x
  3. Step 3: Cross multiply
    5,870.76x = 8,101.74 × 3,513
  4. Step 4: Simplify right side
    5,870.76x = 28,461,412.62
  5. Step 5: Solve for x
    x = 28,461,412.62/5,870.76
  6. Step 6: Final answer
    x = 4,847.99

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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.