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Finding the Fourth Proportional to 6,153.06, 8,491.59 and 4,658.61

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Solution

The fourth proportional to 6,153.06, 8,491.59 and 4,658.61 is: 6,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,153.06 : 8,491.59 = 4,658.61 : x
  2. Step 2: Convert to fraction form
    6,153.06/8,491.59 = 4,658.61/x
  3. Step 3: Cross multiply
    6,153.06x = 8,491.59 × 4,658.61
  4. Step 4: Simplify right side
    6,153.06x = 39,559,006.09
  5. Step 5: Solve for x
    x = 39,559,006.09/6,153.06
  6. Step 6: Final answer
    x = 6,429.16

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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.