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Finding the Fourth Proportional to 4,547.10, 6,819.45 and 1,427.10

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Solution

The fourth proportional to 4,547.10, 6,819.45 and 1,427.10 is: 2,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.10 : 6,819.45 = 1,427.10 : x
  2. Step 2: Convert to fraction form
    4,547.10/6,819.45 = 1,427.10/x
  3. Step 3: Cross multiply
    4,547.10x = 6,819.45 × 1,427.10
  4. Step 4: Simplify right side
    4,547.10x = 9,732,037.10
  5. Step 5: Solve for x
    x = 9,732,037.10/4,547.10
  6. Step 6: Final answer
    x = 2,140.27

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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.