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Finding the Fourth Proportional to 5,094.51, 7,642.54 and 1,806.84

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Solution

The fourth proportional to 5,094.51, 7,642.54 and 1,806.84 is: 2,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.51 : 7,642.54 = 1,806.84 : x
  2. Step 2: Convert to fraction form
    5,094.51/7,642.54 = 1,806.84/x
  3. Step 3: Cross multiply
    5,094.51x = 7,642.54 × 1,806.84
  4. Step 4: Simplify right side
    5,094.51x = 13,808,830.57
  5. Step 5: Solve for x
    x = 13,808,830.57/5,094.51
  6. Step 6: Final answer
    x = 2,710.53

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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.