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Finding the Fourth Proportional to 4,666.32, 6,435.72 and 3,488.40

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Solution

The fourth proportional to 4,666.32, 6,435.72 and 3,488.40 is: 4,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.32 : 6,435.72 = 3,488.40 : x
  2. Step 2: Convert to fraction form
    4,666.32/6,435.72 = 3,488.40/x
  3. Step 3: Cross multiply
    4,666.32x = 6,435.72 × 3,488.40
  4. Step 4: Simplify right side
    4,666.32x = 22,450,365.65
  5. Step 5: Solve for x
    x = 22,450,365.65/4,666.32
  6. Step 6: Final answer
    x = 4,811.15

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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.