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Finding the Fourth Proportional to 4,669.64, 6,444.54 and 3,488.66

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Solution

The fourth proportional to 4,669.64, 6,444.54 and 3,488.66 is: 4,814.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.64 : 6,444.54 = 3,488.66 : x
  2. Step 2: Convert to fraction form
    4,669.64/6,444.54 = 3,488.66/x
  3. Step 3: Cross multiply
    4,669.64x = 6,444.54 × 3,488.66
  4. Step 4: Simplify right side
    4,669.64x = 22,482,776.69
  5. Step 5: Solve for x
    x = 22,482,776.69/4,669.64
  6. Step 6: Final answer
    x = 4,814.68

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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.