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Finding the Fourth Proportional to 4,870.72, 7,313.76 and 4,225.60

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Solution

The fourth proportional to 4,870.72, 7,313.76 and 4,225.60 is: 6,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.72 : 7,313.76 = 4,225.60 : x
  2. Step 2: Convert to fraction form
    4,870.72/7,313.76 = 4,225.60/x
  3. Step 3: Cross multiply
    4,870.72x = 7,313.76 × 4,225.60
  4. Step 4: Simplify right side
    4,870.72x = 30,905,024.26
  5. Step 5: Solve for x
    x = 30,905,024.26/4,870.72
  6. Step 6: Final answer
    x = 6,345.06

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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.