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Finding the Fourth Proportional to 5,140.69, 7,094.20 and 2,782.88

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Solution

The fourth proportional to 5,140.69, 7,094.20 and 2,782.88 is: 3,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.69 : 7,094.20 = 2,782.88 : x
  2. Step 2: Convert to fraction form
    5,140.69/7,094.20 = 2,782.88/x
  3. Step 3: Cross multiply
    5,140.69x = 7,094.20 × 2,782.88
  4. Step 4: Simplify right side
    5,140.69x = 19,742,307.30
  5. Step 5: Solve for x
    x = 19,742,307.30/5,140.69
  6. Step 6: Final answer
    x = 3,840.40

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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.