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Finding the Fourth Proportional to 3,698.68, 5,547.88 and 1,507.34

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Solution

The fourth proportional to 3,698.68, 5,547.88 and 1,507.34 is: 2,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.68 : 5,547.88 = 1,507.34 : x
  2. Step 2: Convert to fraction form
    3,698.68/5,547.88 = 1,507.34/x
  3. Step 3: Cross multiply
    3,698.68x = 5,547.88 × 1,507.34
  4. Step 4: Simplify right side
    3,698.68x = 8,362,541.44
  5. Step 5: Solve for x
    x = 8,362,541.44/3,698.68
  6. Step 6: Final answer
    x = 2,260.95

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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.