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Finding the Fourth Proportional to 4,895.17, 7,345.28 and 2,429.93

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Solution

The fourth proportional to 4,895.17, 7,345.28 and 2,429.93 is: 3,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,895.17 : 7,345.28 = 2,429.93 : x
  2. Step 2: Convert to fraction form
    4,895.17/7,345.28 = 2,429.93/x
  3. Step 3: Cross multiply
    4,895.17x = 7,345.28 × 2,429.93
  4. Step 4: Simplify right side
    4,895.17x = 17,848,540.67
  5. Step 5: Solve for x
    x = 17,848,540.67/4,895.17
  6. Step 6: Final answer
    x = 3,646.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.