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Finding the Fourth Proportional to 4,602.63, 6,351.57 and 2,506.76

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Solution

The fourth proportional to 4,602.63, 6,351.57 and 2,506.76 is: 3,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.63 : 6,351.57 = 2,506.76 : x
  2. Step 2: Convert to fraction form
    4,602.63/6,351.57 = 2,506.76/x
  3. Step 3: Cross multiply
    4,602.63x = 6,351.57 × 2,506.76
  4. Step 4: Simplify right side
    4,602.63x = 15,921,829.86
  5. Step 5: Solve for x
    x = 15,921,829.86/4,602.63
  6. Step 6: Final answer
    x = 3,459.29

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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.