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Finding the Fourth Proportional to 4,497.10, 6,746.14 and 1,726.13

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Solution

The fourth proportional to 4,497.10, 6,746.14 and 1,726.13 is: 2,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.10 : 6,746.14 = 1,726.13 : x
  2. Step 2: Convert to fraction form
    4,497.10/6,746.14 = 1,726.13/x
  3. Step 3: Cross multiply
    4,497.10x = 6,746.14 × 1,726.13
  4. Step 4: Simplify right side
    4,497.10x = 11,644,714.64
  5. Step 5: Solve for x
    x = 11,644,714.64/4,497.10
  6. Step 6: Final answer
    x = 2,589.38

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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.