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Finding the Fourth Proportional to 3,029.40, 4,547.70 and 1,714.20

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Solution

The fourth proportional to 3,029.40, 4,547.70 and 1,714.20 is: 2,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.40 : 4,547.70 = 1,714.20 : x
  2. Step 2: Convert to fraction form
    3,029.40/4,547.70 = 1,714.20/x
  3. Step 3: Cross multiply
    3,029.40x = 4,547.70 × 1,714.20
  4. Step 4: Simplify right side
    3,029.40x = 7,795,667.34
  5. Step 5: Solve for x
    x = 7,795,667.34/3,029.40
  6. Step 6: Final answer
    x = 2,573.34

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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.