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Finding the Fourth Proportional to 5,547.38, 7,660.86 and 4,366.40

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Solution

The fourth proportional to 5,547.38, 7,660.86 and 4,366.40 is: 6,029.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.38 : 7,660.86 = 4,366.40 : x
  2. Step 2: Convert to fraction form
    5,547.38/7,660.86 = 4,366.40/x
  3. Step 3: Cross multiply
    5,547.38x = 7,660.86 × 4,366.40
  4. Step 4: Simplify right side
    5,547.38x = 33,450,379.10
  5. Step 5: Solve for x
    x = 33,450,379.10/5,547.38
  6. Step 6: Final answer
    x = 6,029.94

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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.