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Finding the Fourth Proportional to 4,658.81, 6,429.47 and 2,562.93

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Solution

The fourth proportional to 4,658.81, 6,429.47 and 2,562.93 is: 3,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.81 : 6,429.47 = 2,562.93 : x
  2. Step 2: Convert to fraction form
    4,658.81/6,429.47 = 2,562.93/x
  3. Step 3: Cross multiply
    4,658.81x = 6,429.47 × 2,562.93
  4. Step 4: Simplify right side
    4,658.81x = 16,478,268.73
  5. Step 5: Solve for x
    x = 16,478,268.73/4,658.81
  6. Step 6: Final answer
    x = 3,537.02

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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.