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Finding the Fourth Proportional to 4,499.42, 6,746.70 and 1,725.50

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Solution

The fourth proportional to 4,499.42, 6,746.70 and 1,725.50 is: 2,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499.42 : 6,746.70 = 1,725.50 : x
  2. Step 2: Convert to fraction form
    4,499.42/6,746.70 = 1,725.50/x
  3. Step 3: Cross multiply
    4,499.42x = 6,746.70 × 1,725.50
  4. Step 4: Simplify right side
    4,499.42x = 11,641,397.12
  5. Step 5: Solve for x
    x = 11,641,397.12/4,499.42
  6. Step 6: Final answer
    x = 2,587.31

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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.