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Finding the Fourth Proportional to 6,238.06, 8,610 and 3,587.01

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Solution

The fourth proportional to 6,238.06, 8,610 and 3,587.01 is: 4,950.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.06 : 8,610 = 3,587.01 : x
  2. Step 2: Convert to fraction form
    6,238.06/8,610 = 3,587.01/x
  3. Step 3: Cross multiply
    6,238.06x = 8,610 × 3,587.01
  4. Step 4: Simplify right side
    6,238.06x = 30,884,156.10
  5. Step 5: Solve for x
    x = 30,884,156.10/6,238.06
  6. Step 6: Final answer
    x = 4,950.92

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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.