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Finding the Fourth Proportional to 4,153.52, 5,726.67 and 2,658.98

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Solution

The fourth proportional to 4,153.52, 5,726.67 and 2,658.98 is: 3,666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.52 : 5,726.67 = 2,658.98 : x
  2. Step 2: Convert to fraction form
    4,153.52/5,726.67 = 2,658.98/x
  3. Step 3: Cross multiply
    4,153.52x = 5,726.67 × 2,658.98
  4. Step 4: Simplify right side
    4,153.52x = 15,227,101.00
  5. Step 5: Solve for x
    x = 15,227,101.00/4,153.52
  6. Step 6: Final answer
    x = 3,666.07

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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.