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Finding the Fourth Proportional to 5,118.56, 7,637.91 and 4,566.95

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Solution

The fourth proportional to 5,118.56, 7,637.91 and 4,566.95 is: 6,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.56 : 7,637.91 = 4,566.95 : x
  2. Step 2: Convert to fraction form
    5,118.56/7,637.91 = 4,566.95/x
  3. Step 3: Cross multiply
    5,118.56x = 7,637.91 × 4,566.95
  4. Step 4: Simplify right side
    5,118.56x = 34,881,953.07
  5. Step 5: Solve for x
    x = 34,881,953.07/5,118.56
  6. Step 6: Final answer
    x = 6,814.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.