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Finding the Fourth Proportional to 3,482.95, 5,225.11 and 1,535.17

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Solution

The fourth proportional to 3,482.95, 5,225.11 and 1,535.17 is: 2,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.95 : 5,225.11 = 1,535.17 : x
  2. Step 2: Convert to fraction form
    3,482.95/5,225.11 = 1,535.17/x
  3. Step 3: Cross multiply
    3,482.95x = 5,225.11 × 1,535.17
  4. Step 4: Simplify right side
    3,482.95x = 8,021,432.12
  5. Step 5: Solve for x
    x = 8,021,432.12/3,482.95
  6. Step 6: Final answer
    x = 2,303.06

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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.