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Finding the Fourth Proportional to 4,316.76, 6,469.62 and 2,756.16

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Solution

The fourth proportional to 4,316.76, 6,469.62 and 2,756.16 is: 4,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,316.76 : 6,469.62 = 2,756.16 : x
  2. Step 2: Convert to fraction form
    4,316.76/6,469.62 = 2,756.16/x
  3. Step 3: Cross multiply
    4,316.76x = 6,469.62 × 2,756.16
  4. Step 4: Simplify right side
    4,316.76x = 17,831,307.86
  5. Step 5: Solve for x
    x = 17,831,307.86/4,316.76
  6. Step 6: Final answer
    x = 4,130.72

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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.