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Finding the Fourth Proportional to 5,130.66, 7,687.77 and 4,638.58

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Solution

The fourth proportional to 5,130.66, 7,687.77 and 4,638.58 is: 6,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.66 : 7,687.77 = 4,638.58 : x
  2. Step 2: Convert to fraction form
    5,130.66/7,687.77 = 4,638.58/x
  3. Step 3: Cross multiply
    5,130.66x = 7,687.77 × 4,638.58
  4. Step 4: Simplify right side
    5,130.66x = 35,660,336.17
  5. Step 5: Solve for x
    x = 35,660,336.17/5,130.66
  6. Step 6: Final answer
    x = 6,950.44

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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.