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Finding the Fourth Proportional to 3,547.74, 5,313.44 and 1,700.16

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Solution

The fourth proportional to 3,547.74, 5,313.44 and 1,700.16 is: 2,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.74 : 5,313.44 = 1,700.16 : x
  2. Step 2: Convert to fraction form
    3,547.74/5,313.44 = 1,700.16/x
  3. Step 3: Cross multiply
    3,547.74x = 5,313.44 × 1,700.16
  4. Step 4: Simplify right side
    3,547.74x = 9,033,698.15
  5. Step 5: Solve for x
    x = 9,033,698.15/3,547.74
  6. Step 6: Final answer
    x = 2,546.32

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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.