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Finding the Fourth Proportional to 6,520.60, 9,784.14 and 3,058.12

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Solution

The fourth proportional to 6,520.60, 9,784.14 and 3,058.12 is: 4,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.60 : 9,784.14 = 3,058.12 : x
  2. Step 2: Convert to fraction form
    6,520.60/9,784.14 = 3,058.12/x
  3. Step 3: Cross multiply
    6,520.60x = 9,784.14 × 3,058.12
  4. Step 4: Simplify right side
    6,520.60x = 29,921,074.22
  5. Step 5: Solve for x
    x = 29,921,074.22/6,520.60
  6. Step 6: Final answer
    x = 4,588.70

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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.