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Finding the Fourth Proportional to 4,307.16, 5,944.10 and 2,418.64

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Solution

The fourth proportional to 4,307.16, 5,944.10 and 2,418.64 is: 3,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.16 : 5,944.10 = 2,418.64 : x
  2. Step 2: Convert to fraction form
    4,307.16/5,944.10 = 2,418.64/x
  3. Step 3: Cross multiply
    4,307.16x = 5,944.10 × 2,418.64
  4. Step 4: Simplify right side
    4,307.16x = 14,376,638.02
  5. Step 5: Solve for x
    x = 14,376,638.02/4,307.16
  6. Step 6: Final answer
    x = 3,337.85

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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.