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Finding the Fourth Proportional to 4,547.38, 6,820.86 and 1,260.40

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Solution

The fourth proportional to 4,547.38, 6,820.86 and 1,260.40 is: 1,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.38 : 6,820.86 = 1,260.40 : x
  2. Step 2: Convert to fraction form
    4,547.38/6,820.86 = 1,260.40/x
  3. Step 3: Cross multiply
    4,547.38x = 6,820.86 × 1,260.40
  4. Step 4: Simplify right side
    4,547.38x = 8,597,011.94
  5. Step 5: Solve for x
    x = 8,597,011.94/4,547.38
  6. Step 6: Final answer
    x = 1,890.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.