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Finding the Fourth Proportional to 3,698.46, 5,547.96 and 1,507.23

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Solution

The fourth proportional to 3,698.46, 5,547.96 and 1,507.23 is: 2,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.46 : 5,547.96 = 1,507.23 : x
  2. Step 2: Convert to fraction form
    3,698.46/5,547.96 = 1,507.23/x
  3. Step 3: Cross multiply
    3,698.46x = 5,547.96 × 1,507.23
  4. Step 4: Simplify right side
    3,698.46x = 8,362,051.75
  5. Step 5: Solve for x
    x = 8,362,051.75/3,698.46
  6. Step 6: Final answer
    x = 2,260.96

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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.