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Finding the Fourth Proportional to 4,547.72, 6,820.50 and 1,625.78

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Solution

The fourth proportional to 4,547.72, 6,820.50 and 1,625.78 is: 2,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.72 : 6,820.50 = 1,625.78 : x
  2. Step 2: Convert to fraction form
    4,547.72/6,820.50 = 1,625.78/x
  3. Step 3: Cross multiply
    4,547.72x = 6,820.50 × 1,625.78
  4. Step 4: Simplify right side
    4,547.72x = 11,088,632.49
  5. Step 5: Solve for x
    x = 11,088,632.49/4,547.72
  6. Step 6: Final answer
    x = 2,438.28

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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.