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Finding the Fourth Proportional to 4,547.41, 6,821.10 and 1,427.41

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Solution

The fourth proportional to 4,547.41, 6,821.10 and 1,427.41 is: 2,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.41 : 6,821.10 = 1,427.41 : x
  2. Step 2: Convert to fraction form
    4,547.41/6,821.10 = 1,427.41/x
  3. Step 3: Cross multiply
    4,547.41x = 6,821.10 × 1,427.41
  4. Step 4: Simplify right side
    4,547.41x = 9,736,480.52
  5. Step 5: Solve for x
    x = 9,736,480.52/4,547.41
  6. Step 6: Final answer
    x = 2,141.10

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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.