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Finding the Fourth Proportional to 5,068.25, 7,602.78 and 1,782.08

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Solution

The fourth proportional to 5,068.25, 7,602.78 and 1,782.08 is: 2,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.25 : 7,602.78 = 1,782.08 : x
  2. Step 2: Convert to fraction form
    5,068.25/7,602.78 = 1,782.08/x
  3. Step 3: Cross multiply
    5,068.25x = 7,602.78 × 1,782.08
  4. Step 4: Simplify right side
    5,068.25x = 13,548,762.18
  5. Step 5: Solve for x
    x = 13,548,762.18/5,068.25
  6. Step 6: Final answer
    x = 2,673.26

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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.