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Finding the Fourth Proportional to 5,242.14, 7,865.91 and 4,870.35

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Solution

The fourth proportional to 5,242.14, 7,865.91 and 4,870.35 is: 7,308.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.14 : 7,865.91 = 4,870.35 : x
  2. Step 2: Convert to fraction form
    5,242.14/7,865.91 = 4,870.35/x
  3. Step 3: Cross multiply
    5,242.14x = 7,865.91 × 4,870.35
  4. Step 4: Simplify right side
    5,242.14x = 38,309,734.77
  5. Step 5: Solve for x
    x = 38,309,734.77/5,242.14
  6. Step 6: Final answer
    x = 7,308.03

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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.