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Finding the Fourth Proportional to 4,598.12, 6,345.34 and 2,829.68

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Solution

The fourth proportional to 4,598.12, 6,345.34 and 2,829.68 is: 3,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.12 : 6,345.34 = 2,829.68 : x
  2. Step 2: Convert to fraction form
    4,598.12/6,345.34 = 2,829.68/x
  3. Step 3: Cross multiply
    4,598.12x = 6,345.34 × 2,829.68
  4. Step 4: Simplify right side
    4,598.12x = 17,955,302.38
  5. Step 5: Solve for x
    x = 17,955,302.38/4,598.12
  6. Step 6: Final answer
    x = 3,904.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.