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Finding the Fourth Proportional to 5,642.45, 8,464.06 and 1,482.45

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Solution

The fourth proportional to 5,642.45, 8,464.06 and 1,482.45 is: 2,223.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.45 : 8,464.06 = 1,482.45 : x
  2. Step 2: Convert to fraction form
    5,642.45/8,464.06 = 1,482.45/x
  3. Step 3: Cross multiply
    5,642.45x = 8,464.06 × 1,482.45
  4. Step 4: Simplify right side
    5,642.45x = 12,547,538.33
  5. Step 5: Solve for x
    x = 12,547,538.33/5,642.45
  6. Step 6: Final answer
    x = 2,223.78

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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.