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Finding the Fourth Proportional to 4,658.77, 6,429.10 and 2,562.89

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Solution

The fourth proportional to 4,658.77, 6,429.10 and 2,562.89 is: 3,536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.77 : 6,429.10 = 2,562.89 : x
  2. Step 2: Convert to fraction form
    4,658.77/6,429.10 = 2,562.89/x
  3. Step 3: Cross multiply
    4,658.77x = 6,429.10 × 2,562.89
  4. Step 4: Simplify right side
    4,658.77x = 16,477,071.31
  5. Step 5: Solve for x
    x = 16,477,071.31/4,658.77
  6. Step 6: Final answer
    x = 3,536.79

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1.5x scale

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.