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Finding the Fourth Proportional to 4,670.47, 6,445.16 and 2,546.01

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Solution

The fourth proportional to 4,670.47, 6,445.16 and 2,546.01 is: 3,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.47 : 6,445.16 = 2,546.01 : x
  2. Step 2: Convert to fraction form
    4,670.47/6,445.16 = 2,546.01/x
  3. Step 3: Cross multiply
    4,670.47x = 6,445.16 × 2,546.01
  4. Step 4: Simplify right side
    4,670.47x = 16,409,438.63
  5. Step 5: Solve for x
    x = 16,409,438.63/4,670.47
  6. Step 6: Final answer
    x = 3,513.44

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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.