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Finding the Fourth Proportional to 4,756.90, 6,551.01 and 4,655.14

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Solution

The fourth proportional to 4,756.90, 6,551.01 and 4,655.14 is: 6,410.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.90 : 6,551.01 = 4,655.14 : x
  2. Step 2: Convert to fraction form
    4,756.90/6,551.01 = 4,655.14/x
  3. Step 3: Cross multiply
    4,756.90x = 6,551.01 × 4,655.14
  4. Step 4: Simplify right side
    4,756.90x = 30,495,868.69
  5. Step 5: Solve for x
    x = 30,495,868.69/4,756.90
  6. Step 6: Final answer
    x = 6,410.87

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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.