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Finding the Fourth Proportional to 3,547.80, 5,322.52 and 1,698.36

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Solution

The fourth proportional to 3,547.80, 5,322.52 and 1,698.36 is: 2,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.80 : 5,322.52 = 1,698.36 : x
  2. Step 2: Convert to fraction form
    3,547.80/5,322.52 = 1,698.36/x
  3. Step 3: Cross multiply
    3,547.80x = 5,322.52 × 1,698.36
  4. Step 4: Simplify right side
    3,547.80x = 9,039,555.07
  5. Step 5: Solve for x
    x = 9,039,555.07/3,547.80
  6. Step 6: Final answer
    x = 2,547.93

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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.