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Finding the Fourth Proportional to 4,656.44, 6,423.72 and 2,887.40

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Solution

The fourth proportional to 4,656.44, 6,423.72 and 2,887.40 is: 3,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.44 : 6,423.72 = 2,887.40 : x
  2. Step 2: Convert to fraction form
    4,656.44/6,423.72 = 2,887.40/x
  3. Step 3: Cross multiply
    4,656.44x = 6,423.72 × 2,887.40
  4. Step 4: Simplify right side
    4,656.44x = 18,547,849.13
  5. Step 5: Solve for x
    x = 18,547,849.13/4,656.44
  6. Step 6: Final answer
    x = 3,983.27

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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.