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Finding the Fourth Proportional to 4,968, 7,434.72 and 4,683.96

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Solution

The fourth proportional to 4,968, 7,434.72 and 4,683.96 is: 7,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968 : 7,434.72 = 4,683.96 : x
  2. Step 2: Convert to fraction form
    4,968/7,434.72 = 4,683.96/x
  3. Step 3: Cross multiply
    4,968x = 7,434.72 × 4,683.96
  4. Step 4: Simplify right side
    4,968x = 34,823,931.09
  5. Step 5: Solve for x
    x = 34,823,931.09/4,968
  6. Step 6: Final answer
    x = 7,009.65

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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.